10. Five cards are drawn from a well shuffled pack of 52 playing cards. It can be shown that

Question

(disregarding the order in which the cards are dealt) there are 2,598,960 possible fivecard
hands, of which only 1287 are hands consisting entirely of spades. What is the
probability that a hand will consist entirely of spades?
(a) 0.004956
(b) 0.003560
(c) 0.000495
(d) 0.006578
(e) 0.000295

11. From a group consisting of 20 married couples, one man and one woman are selected.
Suppose that all selections are equally likely. What is the probability that the selected
man and woman are married to each other?
(a) 1 /2
(b) 1/10
(c) 1/20
(d) 2/20

Answer 1

10. Divide spades by total possible.

11. If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

P(M) = 1/20 * 1/10 (once first person chosen, second must be opposite gender, unless you are considering Supreme Court decision.)

Do you have a typo?