Question

A container has 14 yellow chips, 10 blue chips and 12 red chips in it one chip is randomly chosen from the container , then second chip is randomly chosen after replacing the first chip. what is the probability that both chips are red?

Answer 1

`1/9`

Explanation:

There are 36 chips in the container, 12 of which are red.

On the first draw, there is a `12/36=1/3` probability that the chip will be red. That chip is then put back into the container.

We then draw again, and again have a `1/3` probability of drawing a red chip.

These are independent events and so we multiply:

`1/3xx1/3=1/9` probability that both chips are red.