Question

There are seven boys and five girls in a class. The teacher randomly selects three different students to answer questions. The first student is a girl, the second student is a boy, and the third student is a girl. Find the probability of this occurring.]

Answer 1

The probability of this occurring is
`(7)/(66)`

Explanation:

Given : There are seven boys and five girls in a class. The teacher randomly selects three different students to answer questions. The first student is a girl, the second student is a boy, and the third student is a girl.

To Find : The probability of this occurring ?

Solution :

Number of boys = 7

Number of girls = 5

Total number of student = 12

The teacher randomly selects three different students to answer questions.

The probability when first student is girl is
`(5)/(12)`

The probability when second student is boy is
`(7)/(11)`

The probability when third student is girl is
`(4)/(10)`

The probability of this occurring is

`P=(5)/(12)* (7)/(11)*(4)/(10)`

`P=(7)/(66)`

Therefore, The probability of this occurring is
`(7)/(66)`