Question

14 girls and 17 boys attend a party. 6 girls and 7 boys brought balloons. What is the probability of randomly choosing a girl or someone who did not bring a balloon

Answer 1

`(24)/(31)`

Explanation:

Given information:

Total number of girls = 14

Total number of boys = 17

Total number of peoples = 14 + 17 = 31

6 girls and 7 boys brought balloons.

Let A and B are two events, such that

A = Choosing a girl

B = Choosing someone who did not bring a balloon.

`A\cup B` = Choosing girl or someone who did not bring a balloon.

`n(S)=31,n(A)=14,n(B)=18,n(A\cup B)=14+10=24`

The probability of randomly choosing a girl or someone who did not bring a balloon is

`P=(n(A\cup B))/(n(S))`

`P=(24)/(31)`

Therefore, the required probability is
`(24)/(31)`.