Question

(Find The Probability Question)

Choose 2 apples to eat from a bowl containing 6 apples, 8 oranges, and 4 bananas.

Answer 1

The answer is 8/33 since you do 6/20 times 6/20 which is 36/400 which simplifies to 8/33

Answer 2

240/990 = 8/33.

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)