Question

Mrs. Jones buys two toys for her son. The probability that the first toy is defective is 1/3

, and the probability that the second toy is defective given that the first toy is defective is 1/5
. What is the probability that both toys are defective?

Answer 1

`(1)/(15\\)`

Explanation:

The probability that the first toy is defective is
`(1)/(3)`.

The probability that the second toy is defective given that the first toy is defective is
`(1)/(5)`.

To find the probability that both toys are defective, we multiply the probability of the first toy being defective by the probability of the second toy being defective given that the first toy is defective.

Therefore, the probability that both toys are defective is
`(1)/(3)` x
`(1)/(5)` =
`(1)/(15\\)`.

So the answer is
`(1)/(15\\)`.