Question

Of 8 dogs in a kennel, 5 are male and 3 are female. If a trainer randomly chooses two dogs for a walk, what is the probability he will choose two females?

Answer 1

The probability of choosing dogs which are female is
`(3)/(28)`.

Explanation:

Total number of dogs = 8

Total number of dogs which are male = 5

Total number of dogs which are female = 3

Probability of choosing one dog which are female out of 8 =
`(3)/(8)`

Total number of dogs left in kennel = 7

Total number of dogs left which are female = 2

Probability of choosing second dog which is female out of left dogs =
`(2)/(7)`

Hence, probability of choosing two dogs which are female for walk =
`(3)/(8) * (2)/(7)` =
`(3)/(28)`