SOLUTION: Alice and Bob each have a deck of playing cards. Each flips over a randomly selected card. Assume that all pairs of cards are equally likely to be drawn. Determine the following

Question 418573: Alice and Bob each have a deck of playing cards. Each flips over a randomly selected card.
Assume that all pairs of cards are equally likely to be drawn. Determine the following
probabilities:
(a) The probability that at least one card is an ace.
(b) The probability that the two cards are of the same suit.
(c) The probability that neither card is an ace.
(d) The probability that neither card is a diamond or club.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Alice and Bob each have a deck of playing cards. Each flips over a randomly selected card.
Assume that all pairs of cards are equally likely to be drawn. Determine the following
probabilities:
(a) The probability that at least one card is an ace.
P(no ace) = 48/52
P(at least one ace) = 1 - (48/52)^2 = 0.1479
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(b) The probability that the two cards are of the same suit.
(1/4)^2
----
(c) The probability that neither card is an ace.
(48/52)^2
------
(d) The probability that neither card is a diamond or club.
(26/52)^2
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Cheers,
Stan H.

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