Question

In a class of 8, there are 3 students who have done their homework. If the teacher chooses 2 students, what is the probability that both of them have done their homework?

Answer 1

Explanation:

`((3,2))/((8,2)) = (3)/(28)`

Answer 2

The probability that both of them have done their homework is
`(3)/(28)`.

Explanation:

Consider the provided information.

In a class of 8, there are 3 students who have done their homework.

2 students chosen and we need to find the probability that both of them have done their homework.

The probability that first student have done their homework is:

`(3)/(8)`

The probability that second student have done their homework is:

`(2)/(7)`

Now the probability that both of them have done their homework is:

`(3)/(8)* (2)/(7)=(3)/(28)`

Hence, the probability that both of them have done their homework is
`(3)/(28)`.