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Six cards numbered from 1 to 6 are placed in an empty bowl. [#permalink]
22 Apr 2006, 19:36

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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 ?

Re: PS - Probability for Professor [#permalink]
23 Apr 2006, 05:51

gmat_crack wrote:

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

go with 1/5.

2+6 = 8
3+5 = 8
4+4 = 8
5+3 = 8
6+2 = 8

total combination = 5 no of combinations with 5's = 2. prob = 2/5

Last edited by Professor on 23 Apr 2006, 07:14, edited 1 time in total.

Re: PS - Probability for Professor [#permalink]
23 Apr 2006, 05:55

Let me slightly change the question.

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 7, what is the probability that one of the two cards drawn is numbered 5?

Re: PS - Probability for Professor [#permalink]
24 Apr 2006, 05:17

Professor wrote:

Let me slightly change the question.

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 7, what is the probability that one of the two cards drawn is numbered 5?

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