Answer:
240/990 = 8/33.
Step-by-step explanation:
Arbitrarily, the chances of this outcome, by picking an apple first, then an orange, then a banana, is:
5/11 × 4/10 × 2/9= 40/990
But we don't care about the order and in reality, there are six orders that would achieve our outcome:
Apple, orange, banana
Apple, banana, orange
Orange, Apple, banana
Orange, banana, Apple
Banana, Apple, orange
Banana, orange, Apple
The probability of each these outcomes is the same as computed above (Just exchanging numerators.) So the answer is 6×(40/990)
