Question

A standard deck of cards contains 52 cards. One card is selected from the deck.

(a) Compute the probability of randomly selecting a king or queen.
(b) Compute the probability of randomly selecting a king or queen or ace.
(c) Compute the probability of randomly selecting a jack or club.
a. P(king or queen) = (Round to three decimal places as needed.)
b. P(king or queen or ace) = - (Round to three decimal places as needed.)
c. Pjack or club) = = (Round to three decimal places as needed.)
Enter your answer in each of the answer boxes.

Answer 1

Part (a)

There are 4 kings and 4 queens, so 8 cards we want out of 52 total.

8/52 = 0.1538 which rounds to 0.154

Answer: 0.154

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Part (b)

There are now 4+4+4 = 12 cards that are either a king, queen, or ace

12/52 = 0.230769 approximately which rounds to 0.231

Answer: 0.231

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Part (c)

There are 4 jacks and 13 clubs. This gives 4+13 = 17, but we subtract 1 to account for the fact we double counted the jack of clubs when we added earlier. That gives 17-1 = 16 cards that are either a jack, a club, or the jack of clubs.

16/52 = 0.30769 which rounds to 0.308

Answer: 0.308