question archive Suppose two 5-card hands (1 and 2) are selected from a standard deck
Suppose two 5-card hands (1 and 2) are selected from a standard deck
Subject:StatisticsPrice: Bought3
Suppose two 5-card hands (1 and 2) are selected from a standard deck.
Explain your answer for each of the following.
(a) What is the probability that hand 1 contains a flush — i.e., 5 cards of the same suit?
(b) What is the probability that hand 2 contains a straight — i.e., 5 cards of consecutive kinds?
(Both A-2-3-4-5 and 10-J-Q-K-A are considered straights).
(c) What is the probability that hand 2 contains a flush given that hand 1 contains a flush of the
same suit
Suppose you are dealing two 5-card hands from a standard deck, one to yourself and one to a friend.
Further, suppose that you can control exactly what hand you will be dealt. What hand would you
deal yourself so that the probability of your friend being dealt a straight flush is minimized? Explain
your answer.
