A basket contains 5 apples and 4 oranges. If three fruits are selected randomly, what is the probability that the selection includes at least two apples?

Explanation

There are 9 fruits in total. To find the probability of picking at least two apples, we calculate the sum of the probabilities of selecting exactly two apples and exactly three apples. This is (combination of 5 apples taken 2) × (combination of 4 oranges taken 1) divided by total combinations of 9 fruits taken 3, plus (combination of 5 apples taken 3) divided by total combinations of 9 fruits taken 3. The result is (5C2 * 4C1) / 9C3 + (5C3) / 9C3 = 25/42.