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 jack or ace. (b) Compute the probability of randomly selecting a jack or ace or nine. (c) Compute the probability of randomly selecting a king or diamond.

Expert Solution

Total cards = 52

a) P(jack or ace) = P(jack) + P(ace) - P(jack and ace)

= 4/52 + 4/52 - 0

= 2/13

b) P(jack or ace or nine) = P(jack) + P(ace) + P(nine)

= 4/52 + 4/52 + 4/52

= 3/13

c) P(king or diamond) = P(king) + P(diamond) - P(king and diamond)

= 4/52 + 13/52 - 1/52

= 16/52

= 4/13

milcah answered 3 months ago

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