Po a nii ong o reluse to io low each other how many ways are

Po a nii ong o, reluse to io low each other, how many ways are possible? 2. Four married couples have bought 8 seats in the same row for a concert. In how many different ways can they be seated (a) with no restrictions? (b) if each couple is to sit together? (c) if all the men sit together to the right of all the women? (All the men sit in the right four seats and all the women sit in the left four seats.) 3. A poker hand consists of 5 cards. A one-pair hand consists of two cards having one rank (2, Q, K, A) and the other three cards having t 3 9, 10, J, other rank. (a) How many total poker hands are there? (b) How many 5 poker card hands have exactly one pair? (c) at is the probability of getting a two of a kind in a poker hand. 4. Before the distribution of certain software, every fourth four inde (CD) is tested for accuracy. The testing process consists of running testim pendent programs and checking the results. The failure rates for the four programs are, respectively, 0.01, 0.03, 0.02, and 0.0 (a) What is the probability that a tested CD failed at least one test? that n was tested, what is the probability that it failed progr

Solution

3.

(a)

there are a total of 52 cards.

number of poker hands = C(52,5) = 2,598,960

(b)

For having one exactly one pair choose a rank and pick two cards from it and from the rest of the ranks choose 3 cards each having different ranks.

N = C(13,1)C(4,2)C(12,3)C(4,1) = 68,640

(c)

P = 68,640/2,598,960 = 0.026