You are dealt a hand of three cards,one at a time.Find the probability that you have at least one face card.

A) 0.447
B) 0.545
C) 0.553
D) 0.010
E) 0.423

Question

You are dealt a hand of three cards,one at a time.Find the probability that you have at least one face card.A) 0.447B) 0.545C) 0.553D) 0.010E) 0.423

Jaime Jaume · Accepted Answer

Final Answer : C, Explanation :  The total number of possible hands that can be dealt is given by:C(52,3) = 22,100The number of hands without any face cards is given by:C(40,3) = 91,080Therefore, the number of hands with at least one face card is given by:22,100 - 91,080 = 13,020The probability of having at least one face card is then:13,020/22,100 = 0.553Thus, the best choice is C.

You are dealt a hand of three cards,one at a time.Find the probability that you have at least one face card.

A) 0.447
B) 0.545
C) 0.553
D) 0.010
E) 0.423

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