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

ID: 3335209 • Letter: A

Question

A standard deck of cards contains 52 cards. One card is selected from the deck (a) Compute the probability of randomly selecting a club or spade. (b) Compute the probability of randomly selecting a club or spade or diamond. (c) Compute the probability of randomly selecting a nine or spade. (a) P(club or spade)- Type an integer or a decimal rounded to three decimal places as needed.) (b) P(club or spade or diamond)- (Type an integer or a decimal rounded to three decimal places as needed.) (c) P(nine or spade) = L Type an integer or a decimal rounded to three decimal places as needed.)

Explanation / Answer

a) P(club or spade)=(13+13)/52 =0.5 (there are 13 clubs and 13 spades)

b) P(club or spade or diamond)=(13+13+13)/52=0.75

c) P(nine or spade)=P(nine)+P(spade)-P(nine of spade)=(4+13-1)/52=0.3077

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