Six cards numbered from 1 to 6 are placed in a cardboard box . 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 10, what is the probability that one of the two cards drawn is numbered 5 ?	Choose the correct choice from the following options.
A) 1/2	B) 1/4	C) 1/5	D) 1/6	E) 1/3
(6,4) (4,6) (5,5) – only 3 possible scenarios for sum to be 10. One from this 5 has already happened.   From this three cases, only in one we have 5. So, the probability is 1 chances out of 3 that the one that occurred had 5: P=1/3.   Answer: 1/3.
<result>E</result>
Six cards numbered from 1 to 6 are placed in a cardboard box . 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 10, what is the probability that one of the two cards drawn is numbered 5 ?