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# Six cards numbered from 1 to 6 are placed in an empty bowl.

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Six cards numbered from 1 to 6 are placed in an empty bowl. [#permalink]  29 Jul 2007, 22:22
60. Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 8, what is the probability that one of the two cards drawn is numbered 5?

A. 1/6
B. 1/5
C. 1/3
D. 2/5
E. 2/3
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Re: Card/Probability [#permalink]  29 Jul 2007, 22:56
jamesrwrightiii wrote:
60. Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 8, what is the probability that one of the two cards drawn is numbered 5?

A. 1/6
B. 1/5
C. 1/3
D. 2/5
E. 2/3

It is 2/5 (D).

Possible outcomes = (3,5), (5,3), (4,4), (2,6), (6,2)
Favorable outcomes = (3,5), (5,3)
Probability = 2/5
Re: Card/Probability   [#permalink] 29 Jul 2007, 22:56
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