Question

A bag contains 25 marbles (5 red ones, 8 ue ones and 12 yellow ones.) When a marble is picked at a random one at a time from the bag and not put back into the bag, what is the chance of picking a yellow one twice in a row?​

Answer 1

The chance of picking a yellow marble twice in a row without replacement is 0.22

Explanation:

The given number of marbles in the bag = 25 marbles

The number of red marbles in the bag = 5 red marbles

The number of blue marbles in the bag = 8 blue marbles

The number of yellow marbles in the bag = 12 yellow marbles

The chance of picking a yellow marble = 12/25

The chance of picking another yellow when the first one is not replaced = 11/24

Therefore, the chance of picking a yellow marble twice in a row = 12/25 × 11/24 = 1/25 × 11/2 = 11/50

Therefore;

The chance of picking a yellow marble twice in a row without replacement = 11/50 = 0.22