Question

There are 5 boys and 3 girls running for school president and vice president. What is the probability that the president is a girl and the vice-president is a girl?

Answer 1

Answer: The required probability is
`(3)/(14)`

Explanation:

Since we have given that

Number of boys = 5

Number of girls = 3

Total number = 8

President and vice president should be girl.

So, the probability of getting a girl president and girl vice president would be :

`(^3C_1* ^2C_1)/(^8C_2)\\\\=(3* 2)/(28)\\\\=(3)/(14)`

Hence, the required probability is
`(3)/(14)`