Question

A group consisting of 6 people is to be selected from eight parents and four teachers.

Find the probability of selecting three parents and three teachers.

Answer 1

9/32 or 0.28125

Explanation:

8 parents and 4 teachers

There are 12 possible outcomes.

probability = # of favorable outcomes / # of possible outcomes

Let's do the teachers first.

There are 4 teachers, and we are finding the probability for 3 of them being picked.

Therefore,

P = 3/4

Now let's do the parents.

There are 8 parents, and we want 3.

Therefore,

P = 3/8

Now, we do
`(3)/(4) *(3)/(8) = (9)/(32)`

Therefore, the chance of 3 teachers and 3 parents being picked out of 4 teachers and 8 parents is 9/32, or in decimal form 0.28125.

Hope this helped!