Seven cards numbered from 1 to 7 are placed in an empty bowl. First one card is drawn and then put back into the bowl, and then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 9, what is the probability that one of the two cards drawn is numbered 6?  Pick:
A) 1/3 B) 2/3 C) 1/5 D) 2/5 E) 2/7
There are 6 ways to get a total sum of 9.   2 of these ways include the number 6.   The probability that one of the cards is a 6 is 2/6 = 1/3   The answer is 1/3.
<result>A</result>
Seven cards numbered from 1 to 7 are placed in an empty bowl. First one card is drawn and then put back into the bowl, and then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 9, what is the probability that one of the two cards drawn is numbered 6?