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prob question

by bacali » Wed Nov 26, 2008 9:05 pm
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

OA: D
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by gmataug08 » Wed Nov 26, 2008 10:38 pm
total possibile combinations of getting sum 8 for two draws are

2 & 6 --------> 2 combinations

4& 4 ----------> 1 combination

5& 3 ----------> 2 combinations

so having 5 in one of the card = 2/5
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