Question

A bag contains 2 red marbles, 3 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that both marbles drawn will be red?

Answer 1

Hello there!

There are 10 marbles and 2 of them are red. First pick is 2/10 to get a red and then if you pick a red marble then you have a 1/9 chance to pick a red.

So, 2/10 x 1/9 = 2/90

Simplify 2/90 to get 1/45.

Convert 1/45 to a decimal.

1/45 : 0.022222

Therefore, the probability to the nearest 10th of a percent that both marbles drawn will be red is 0.02%