F.5 math~probability(1)

(1)

4 girls and 8 boys are arranged in a row at random. Find the probability that any 2 girls do not stand next to each other.

(2)

There are 24 apples in box A, of which 6 are rottten. There are 24 apples in box B, of which 4 are rotten. 6 apples are selected at random from these apples. Given that exactly 2 apples selected are rotten, find the probability that both of the 2 rotten apples are from box A.