Box A contains 5 cards numbered 1,3,6,8 and 10 respectively. Box B contains 4 cards numbered 2,3,6, and 9 respectively. A card is drawn randomly from box A and put into box B. Then two cards are drawn randomly at the same time from box B. Find the probability that the two cards drawn from box B are marked with the same number.
P(two cards drawn from box B are marked with the same number)
= P(3 or 6 is drawn from box A) * P(2 same cards(3,3 or 6,6) are drawn from box B)
= 2/5 * (2/5 * 1/4)
= 1/25