Week 7 - Ics 6d Study Guide Rated A+

probability that a five card hand has at least one ace? {Ans: 1) total S = C(52,5) 2) E too diff to know, no aces is C(48,4) 3) prob of event with complement is = 1- [C(48,4)/C(52,5)]}What is the probability that a random 5-card hand has all four aces? {Ans: 48/C(52, 5) The size of the sample space is C(52,5). The number of 5-card hands that contain all 4 aces is 48. Four of the cards in the hand must be the only 4 aces in the deck, so there are 52 - 4 = 48 possibilities for the fifth card. Therefore the number of outcomes in the event is 48.}A class with n kids lines up for recess. The order in which the kids line up is random with each ordering being equally likely. There are two kids in the class named Celia and Felicity. What is the probability that Celia and Felicity are next to each other in the line? {Ans: 2/n The size of the sample space is n!. The number of ways to order the line in which Celia and Felicity are next to each other is 2(n-1)!. (There are (n-1)! ways to