Question

# A standard deck of cards contains 52 cards. One card is selected from the deck. ​(a)...

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

 ​(a) Compute the probability of randomly selecting a five or king. ​(b) Compute the probability of randomly selecting a five or king or queen. ​(c) Compute the probability of randomly selecting a seven or club.

​(Type an integer or a decimal rounded to three decimal places as​ needed.

total number of cards = n = 52

(A) there are 4 five cards in each suit and 4 king cards in each suit

So, favorable outcome = 8

total outcome = 52

Probability = favorable/total

= 8/52

= 0.154

(B)

there are 4 five cards in each suit and 4 king and 4 queen cards in each suit

So, favorable outcome = 4+4+4 =12

total outcome = 52

Probability = favorable/total

= 12/52

= 0.231

(C)

there are 13 club cards and 3 seven cards in each suit (excluding 7 of club)

So, favorable outcome = 13+7 =20

total outcome = 52

Probability = favorable/total

= 20/52

= 0.385

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