Basket A contains 4 apples, 6 oranges, and 2 lemons. Basket B contains 5 apples, 4 oranges, and 6 lemons. You are to get two fruits from each basket. What is the probability of getting 2 oranges from basket A and then 1 apple and 1 lemon from basket B?

Answer 1

A ... there are 12C2 ways of selecting two fruits
... 6C2 ways of selecting two oranges

B ... there are 15C2 ways of selecting two fruits
... any of 5 apples, paired with any of 6 lemons ... 5 * 6 possibilities