{"id":30082,"date":"2019-01-17T11:40:46","date_gmt":"2019-01-17T11:40:46","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=30082"},"modified":"2020-11-27T16:32:07","modified_gmt":"2020-11-27T11:02:07","slug":"ncert-solutions-for-class-10-maths-chapter-15","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/ncert-solutions-for-class-10-maths-chapter-15\/","title":{"rendered":"NCERT Solutions for Class 10 Maths Chapter 15 Probability Ex 15.1"},"content":{"rendered":"<p>NCERT Solutions for Class 10 Maths Chapter 15 Probability Ex 15.1 are part of NCERT Solutions for Class 10 Maths. Here are we have given Chapter 15 <strong>Probability\u00a0Class 10 NCERT Solutions Ex 15.1.<\/strong><\/p>\n<p>Students find NCERT Solutions for Class 10 Maths Chapter 15 Probability quite helpful for their CBSE Board Preparation. Refer to our Textbook Solutions any time, while doing your homework or while preparing for the exam. All questions and answers from the NCERT Book of class 10 Math Chapter 15 are provided here for you for free.<\/p>\n<ul>\n<li><a title=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability Ex 15.2\" href=\"https:\/\/www.aplustopper.com\/ncert-solutions-for-class-10-maths-chapter-15-ex-15-2\/\" target=\"_blank\" rel=\"noopener\">Probability Class 10 Ex 15.2<\/a><\/li>\n<\/ul>\n<table style=\"table-layout: fixed; width: 650px;\" border=\"1\">\n<tbody>\n<tr>\n<td><strong>Board<\/strong><\/td>\n<td>CBSE<\/td>\n<\/tr>\n<tr>\n<td><strong>Textbook<\/strong><\/td>\n<td>NCERT<\/td>\n<\/tr>\n<tr>\n<td><strong>Class<\/strong><\/td>\n<td>Class 10<\/td>\n<\/tr>\n<tr>\n<td><strong>Subject<\/strong><\/td>\n<td>Maths<\/td>\n<\/tr>\n<tr>\n<td><strong>Chapter<\/strong><\/td>\n<td>Chapter 15<\/td>\n<\/tr>\n<tr>\n<td><strong>Chapter Name<\/strong><\/td>\n<td>Probability<\/td>\n<\/tr>\n<tr>\n<td><strong>Exercise<\/strong><\/td>\n<td>Ex 15.1<\/td>\n<\/tr>\n<tr>\n<td><strong>Number of Questions Solved<\/strong><\/td>\n<td>25<\/td>\n<\/tr>\n<tr>\n<td><strong>Category<\/strong><\/td>\n<td>NCERT Solutions<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>NCERT Solutions for Class 10 Maths Chapter 15 Probability Ex 15.1<\/h2>\n<p><a class=\"button-red\" href=\"https:\/\/www.aplustopper.com\/ncert-solutions-for-class-10-maths\/\">NCERT Solutions for Class 10 Maths<\/a><\/p>\n<p><strong>Page No: 308<\/strong><\/p>\n<p><strong>Question 1.<br \/>\n<\/strong>Complete the following statements:<br \/>\n(i) Probability of an event E + Probability of the event \u2018not E\u2019 = ___________ .<br \/>\n(ii) The probability of an event that cannot happen is __________. Such an event is called ________ .<br \/>\n(iii) The probability of an event that is certain to happen is _________ . Such an event is called _________ .<br \/>\n(iv) The sum of the probabilities of all the elementary events of an experiment is __________ .<br \/>\n(v) The probability of an event is greater than or equal to and less than or equal to __________ .<\/p>\n<p><strong>Answer:<br \/>\n<\/strong>(i) 1<br \/>\n(ii) 0, impossible event<br \/>\n(iii) 1, sure or certain event.<br \/>\n(iv) 1<br \/>\n(v) 0, 1<\/p>\n<p><strong>Question 2.<\/strong><br \/>\nWhich of the following experiments have equally likely outcomes? Explain.<br \/>\n(i) A driver attempts to start a car. The car starts or does not start.<br \/>\n(ii) A player attempts to shoot a basketball. She\/he shoots or misses the shot.<br \/>\n(iii) A trial is made to answer a true-false question. The answer is right or wrong.<br \/>\n(iv) A baby is born. It is a boy or a girl.<\/p>\n<p><strong>Answer:<br \/>\n<\/strong>(i) It is not equally likely event as it depends on various factors and factors for both the conditions are not same.<br \/>\n(ii) It is not equally likely event, as it depends on the ability of a player.<br \/>\n(iii) It is an equally likely event.<br \/>\n(iv) It is an equally likely event.<\/p>\n<p><strong>Question 3.<br \/>\n<\/strong>Why is tossing a coin considered to be a fair way of deciding which team should get the ball at the beginning of a football game?<\/p>\n<p><strong>Answer:<br \/>\n<\/strong>When a coin is tossed, there are only two possible equally likely outcomes. So, tossing of a coin considered to be a fair way of deciding which team should get the ball at the beginning of a football game.<\/p>\n<p><strong>Question 4.<\/strong><br \/>\nWhich of the following cannot be the probability of an event?<br \/>\n(A) 2\/3 (B) -1.5 (C) 15% (D) 0.7<\/p>\n<p><strong>Answer:<br \/>\n<\/strong>It is known that the probability of an event is always greater than or equal to 0\u00a0and it is always less than or equal to one. Hence, out of the given alternatives \u20141.5 can not be a probability of an event.<\/p>\n<p><strong>Question\u00a05.<\/strong><br \/>\nIf P(E) = 0.05, what is the probability of \u2018not E\u2019?<\/p>\n<p><strong>Answer:<br \/>\n<\/strong>P(E&#8217;) = 1 &#8211; P(E)<br \/>\n= 1 &#8211; 0.05<br \/>\n= 0.95<br \/>\nSo, the probability of &#8216;not E&#8217; is 0.95.<\/p>\n<p><strong>Question 6.<br \/>\n<\/strong>A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out<br \/>\n(i) an orange flavoured candy?<br \/>\n(ii) a lemon flavoured candy?<\/p>\n<p><strong>Answer:<br \/>\n<\/strong>(i) The bag contains lemon flavoured candies only. So, event that Malini will take out a orange flavoured candy, is an impossible event.<br \/>\n\u2234 P (an orange flavoured candy) = 0<br \/>\n(ii) The bag contains lemon flavoured candies only. So, the event that Malini will take out a lemon flavoured candy, is a sure event.<br \/>\n\u2234 P (a lemon flavoured candy) = 1<\/p>\n<p><strong>Question 7.<\/strong><br \/>\nIt is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?<\/p>\n<p><strong>Answer:<br \/>\n<\/strong>Probability that two students are not having same birthday = P(E) =\u00a00.992<br \/>\n\u2234 Probability that two students are having same birthday P(E&#8217;) = 1 &#8211; P(E)<br \/>\n= 1 &#8211;\u00a00.992<br \/>\n= 0.008<\/p>\n<p><strong>Question 8.<\/strong><br \/>\nA bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is (i) red? (ii) not red?<\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101671\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 15\" width=\"552\" height=\"215\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15.png 552w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-300x117.png 300w\" sizes=\"(max-width: 552px) 100vw, 552px\" \/><\/p>\n<p><strong>Question 9.<\/strong><br \/>\nA box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be (i) red ? (ii) white ? (iii) not green?<\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101675\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-16.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 16\" width=\"575\" height=\"308\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-16.png 575w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-16-300x161.png 300w\" sizes=\"(max-width: 575px) 100vw, 575px\" \/><\/p>\n<p><strong>Page No: 309<\/strong><\/p>\n<p><strong>Question 10.<\/strong><br \/>\nA piggy bank contains hundred 50p coins, fifty \u20b91 coins, twenty \u20b92 coins and ten \u20b95 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin (i) will be a 50 p coin ? (ii) will not be a \u20b95 coin?<\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101678\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-10.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability 10\" width=\"580\" height=\"274\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-10.png 580w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-10-300x142.png 300w\" sizes=\"(max-width: 580px) 100vw, 580px\" \/><\/p>\n<p><strong>Question 11.<\/strong><br \/>\nGopi buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing 5 male fish and 8 female fish (see Fig. 15.4). What is the probability that the fish taken out is a male fish?<\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101680\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-11.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability 11\" width=\"602\" height=\"74\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-11.png 602w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-11-300x37.png 300w\" sizes=\"(max-width: 602px) 100vw, 602px\" \/><\/p>\n<p><strong>Question 12.<\/strong><br \/>\nA game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 (see Fig. 15.5), and these are equally likely outcomes. What is the probability that it will point at<br \/>\n(i) 8 ?<br \/>\n(ii) an odd number?<br \/>\n(iii) a number greater than 2?<br \/>\n(iv) a number less than 9?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101683\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-ex-15.1-q12.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability ex 15.1 q12\" width=\"187\" height=\"158\" \/><\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101686\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-12.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability 12\" width=\"527\" height=\"312\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-12.png 527w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-12-300x178.png 300w\" sizes=\"(max-width: 527px) 100vw, 527px\" \/><\/p>\n<p><strong>Question 13.<\/strong><br \/>\nA die is thrown once. Find the probability of getting<br \/>\n(i) a prime number; (ii) a number lying between 2 and 6; (iii) an odd number.<\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101688\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-13.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability 13\" width=\"485\" height=\"220\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-13.png 485w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-13-300x136.png 300w\" sizes=\"(max-width: 485px) 100vw, 485px\" \/><\/p>\n<p><strong>Question 14.<\/strong><br \/>\nOne card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting<br \/>\n(i) a king of red colour (ii) a face card (iii) a red face card (iv) the jack of hearts (v) a spade (vi) the queen of diamonds<\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101707\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-14.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability 14\" width=\"544\" height=\"489\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-14.png 544w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-14-300x270.png 300w\" sizes=\"(max-width: 544px) 100vw, 544px\" \/><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101776\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-14.1.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability 14.1\" width=\"521\" height=\"225\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-14.1.png 521w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-14.1-300x130.png 300w\" sizes=\"(max-width: 521px) 100vw, 521px\" \/><\/p>\n<p><strong>Question 15.<\/strong><br \/>\nFive cards the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random.<br \/>\n(i) What is the probability that the card is the queen?<br \/>\n(ii) If the queen is drawn and put aside, what is the probability that the second card picked up is (a) an ace? (b) a queen?<\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101784\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-15.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability 15\" width=\"558\" height=\"230\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-15.png 558w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-15-300x124.png 300w\" sizes=\"(max-width: 558px) 100vw, 558px\" \/><\/p>\n<p><strong>Question 16.<\/strong><br \/>\n12 defective pens are accidentally mixed with 132 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen taken out is a good one.<\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101786\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-16.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability 16\" width=\"432\" height=\"117\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-16.png 432w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-16-300x81.png 300w\" sizes=\"(max-width: 432px) 100vw, 432px\" \/><\/p>\n<p><strong>Question 17.<\/strong><br \/>\n(i) A lot of 20 bulbs contain 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?<br \/>\n(ii) Suppose the bulb drawn in (i) is not defective and is not replaced. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective?<\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101787\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-17.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability 17\" width=\"549\" height=\"185\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-17.png 549w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-17-300x101.png 300w\" sizes=\"(max-width: 549px) 100vw, 549px\" \/><\/p>\n<p><strong>Question 18.<\/strong><br \/>\nA box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears (i) a two-digit number (ii) a perfect square number (iii) a number divisible by 5.<\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101789\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-18.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability 18\" width=\"574\" height=\"286\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-18.png 574w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-18-300x149.png 300w\" sizes=\"(max-width: 574px) 100vw, 574px\" \/><\/p>\n<p><strong>Page No: 310<\/strong><\/p>\n<p><strong>Question 19.<\/strong><br \/>\nA child has a die whose six faces show the letters as given below:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101791\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-ex-15.1-q19.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability ex 15.1 q19\" width=\"274\" height=\"38\" \/><br \/>\nThe die is thrown once. What is the probability of getting (i) A? (ii) D?<\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101793\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-19.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability 19\" width=\"348\" height=\"152\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-19.png 348w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-19-300x131.png 300w\" sizes=\"(max-width: 348px) 100vw, 348px\" \/><\/p>\n<p><strong>Question 20.<br \/>\n<\/strong>Suppose you drop a die at random on the rectangular region shown in Fig. 15.6. What is the probability that it will land inside the circle with diameter 1m?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101794\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-ex-15.1-q20.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability ex 15.1 q20\" width=\"204\" height=\"122\" \/><br \/>\n<strong>Answer<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101798\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-20.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability 20\" width=\"377\" height=\"176\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-20.png 377w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-20-300x140.png 300w\" sizes=\"(max-width: 377px) 100vw, 377px\" \/><\/p>\n<p><strong>Question 21.<\/strong><br \/>\nA lot consists of 144 ball pens of which 20 are defective and the others are good. Nuri will buy a pen if it is good, but will not buy if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that<\/p>\n<p>(i) She will buy it?<br \/>\n(ii) She will not buy it?<\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101800\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-21.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability 21\" width=\"534\" height=\"136\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-21.png 534w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-21-300x76.png 300w\" sizes=\"(max-width: 534px) 100vw, 534px\" \/><\/p>\n<p><strong>Question 22.<br \/>\n<\/strong>Refer to Example 13. (i) Complete the following table:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101802\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-ex-15.1-q22.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability ex 15.1 q22\" width=\"587\" height=\"105\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-ex-15.1-q22.png 587w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-ex-15.1-q22-300x54.png 300w\" sizes=\"(max-width: 587px) 100vw, 587px\" \/><br \/>\n(ii) A student argues that \u2018there are 11 possible outcomes 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12. Therefore, each of them has a probability 1\/11. Do you agree with this argument? Justify your answer.<\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101804\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-22.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability 22\" width=\"609\" height=\"393\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-22.png 609w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-22-300x194.png 300w\" sizes=\"(max-width: 609px) 100vw, 609px\" \/><\/p>\n<p><strong>Question 23.<\/strong><br \/>\nA game consists of tossing a one rupee coin 3 times and noting its outcome each time. Hanif wins if all the tosses give the same result i.e., three heads or three tails, and loses otherwise. Calculate the probability that Hanif will lose the game.<\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101806\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-23.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability 23\" width=\"570\" height=\"130\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-23.png 570w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-23-300x68.png 300w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/><\/p>\n<p><strong>Question 24.<\/strong><br \/>\nA die is thrown twice. What is the probability that<br \/>\n(i) 5 will not come up either time? (ii) 5 will come up at least once?<br \/>\n[Hint : Throwing a die twice and throwing two dice simultaneously are treated as the same experiment]<\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101808\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-24.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability 24\" width=\"568\" height=\"244\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-24.png 568w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-24-300x129.png 300w\" sizes=\"(max-width: 568px) 100vw, 568px\" \/><\/p>\n<p><strong>Page No: 311<\/strong><\/p>\n<p><strong>Question 25.<\/strong><br \/>\nWhich of the following arguments are correct and which are not correct? Give reasons for your answer.<br \/>\n(i) If two coins are tossed simultaneously there are three possible outcomes\u2014two heads, two tails or one of each. Therefore, for each of these outcomes, the probability is 1\/3<br \/>\n(ii) If a die is thrown, there are two possible outcomes\u2014an odd number or an even number. Therefore, the probability of getting an odd number is 1\/2<\/p>\n<p><strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-101810\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-25.png\" alt=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability 25\" width=\"586\" height=\"299\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-25.png 586w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2019\/01\/NCERT-Solutions-for-Class-10-Maths-Chapter-15-Probability-25-300x153.png 300w\" sizes=\"(max-width: 586px) 100vw, 586px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>We hope the NCERT Solutions for Class 10 Maths Chapter 15 Probability Ex 15.1 help you. If you have any query regarding NCERT Solutions for Class 10 Maths Chapter 15 Probability Ex 15.1, drop a comment below and we will get back to you at the earliest.<\/p>\n<blockquote class=\"twitter-tweet\" data-width=\"500\" data-dnt=\"true\">\n<p lang=\"en\" dir=\"ltr\">NCERT Solutions For Class 10 Maths &#8211; AplusTopper<a href=\"https:\/\/t.co\/q7hSKh3xmf\">https:\/\/t.co\/q7hSKh3xmf<\/a><a href=\"https:\/\/twitter.com\/hashtag\/NCERTSolutionsForClass10Maths?src=hash&amp;ref_src=twsrc%5Etfw\">#NCERTSolutionsForClass10Maths<\/a> <a href=\"https:\/\/twitter.com\/hashtag\/NCERTSolutions?src=hash&amp;ref_src=twsrc%5Etfw\">#NCERTSolutions<\/a> <a href=\"https:\/\/twitter.com\/hashtag\/AplusTopper?src=hash&amp;ref_src=twsrc%5Etfw\">#AplusTopper<\/a><\/p>\n<p>&mdash; ObulReddy cbse (@ObulReddyCBSE) <a href=\"https:\/\/twitter.com\/ObulReddyCBSE\/status\/1025279827379535872?ref_src=twsrc%5Etfw\">August 3, 2018<\/a><\/p><\/blockquote>\n<p><script async src=\"https:\/\/platform.twitter.com\/widgets.js\" charset=\"utf-8\"><\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 10 Maths Chapter 15 Probability Ex 15.1 are part of NCERT Solutions for Class 10 Maths. Here are we have given Chapter 15 Probability\u00a0Class 10 NCERT Solutions Ex 15.1. Students find NCERT Solutions for Class 10 Maths Chapter 15 Probability quite helpful for their CBSE Board Preparation. Refer to our Textbook [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[6805],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.8 (Yoast SEO v17.8) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 10 Maths Chapter 15 Probability Ex 15.1 - A Plus Topper.com<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 10 Maths Chapter 15 Probability Ex 15.1 helpful to finish your Home Work. 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