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GMAT, GRE Probability Question with Cards

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. 2/5
B. 3/5
C. 1/18
D. 1/3
E. 1/6







Possible outcomes: 
2–6
3–5
4–4
5–3
6–2 

The total number of outcomes such that the sum is 8 = 5. 
Number of outcomes such that at least one card in the sum is 5 = 2 (3–5,5–3). 
Probability = 2/5. 

A

Jeremiah LaBrash

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