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?

Respuesta :

Answer:

Step-by-step explanation:

[tex]\frac{(3,2)}{(8,2)} = \frac{3}{28}[/tex]

Answer:

The probability that both of them have done their homework is [tex]\frac{3}{28}[/tex].

Step-by-step 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:

[tex]\frac{3}{8}[/tex]

The probability that second student have done their homework is:

[tex]\frac{2}{7}[/tex]

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

[tex]\frac{3}{8}\times \frac{2}{7}=\frac{3}{28}[/tex]

Hence, the probability that both of them have done their homework is [tex]\frac{3}{28}[/tex].