{"id":9454,"date":"2023-01-02T10:00:38","date_gmt":"2023-01-02T04:30:38","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=9454"},"modified":"2023-01-02T10:01:07","modified_gmt":"2023-01-02T04:31:07","slug":"probability-and-permutations","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/probability-and-permutations\/","title":{"rendered":"Probability and Permutations"},"content":{"rendered":"
Things to remember:<\/strong> <\/p>\n Examples<\/strong>:<\/p>\n 1. Two cards are drawn at random from a standard deck of 52 cards, without replacement. What is the probability that both cards drawn are queens?<\/p>\n <\/p>\n 2. Mrs. Schultzkie has to correct papers for three different classes: Algebra, Geometry, and Trig. If Mrs. Schultzkie corrects the papers for each class at random, what is the probability she corrects Algebra papers first?<\/p>\n <\/p>\n 3. A card is drawn from a deck of standard cards and then replaced in the deck. A second card is then drawn and replaced. What is the probability that a queen is drawn each time?<\/p>\n Solution<\/strong> : <\/p>\n","protected":false},"excerpt":{"rendered":" Probability and Permutations Things to remember: \u2022 When dealing with probability and permutations, it is important to know if the problem deals with replacement, or without replacement. For example, “with replacement” would be drawing an ace from a deck of cards and then replacing the ace in the deck before drawing a second card. “Without […]<\/p>\n","protected":false},"author":2,"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":[5],"tags":[3481],"yoast_head":"\n
\n\u2022 When dealing with probability and permutations, it is important to know if the problem deals with replacement, or without replacement. For example, “with replacement” would be drawing an ace from a deck of cards and then replacing the ace in the deck before drawing a second card. “Without replacement” would be drawing the ace and not replacing it in the deck before drawing the second card.
\n\u2022 Don’t forget to use the counting principle for many compound events. It is fast and easy.<\/p>\n
\nOn the first draw, the probability of getting one of the four queens in the deck is 4 out of 52 cards. Because the queen is replaced into the deck, the probability of getting a queen on the second draw remains the same. Using the counting principle we have:<\/p>\n