Question

4.At a local animal shelter there are 3 Siamese cats, 3 German Shepherds, 9 LabradorRetrievers, and 2 mixed-breed dogs. If you choose 2 animals randomly, what is theprobability that both will be labs?

Answer 1

To find:

The probability that both animals are labrador.

Solution:

The total number of animals s in the shelter are 3 + 3 + 9 + 2 17.

It is known that the probability of an even to be happen is:

`P(A)=\frac{\text{ number of favourable outcomes}}{\text{ number of total outcomes}}`

IF we select first animal, then the probability of getting a labrador is 9/17.

If we select second animal, then the probability of getting a labrador is 8/16 because 1 animal is already selected.

So, the probability that both are labrador is:

`(9)/(17)*(8)/(16)=(9)/(34)`

Thus, the answer is 9/34.