From a group of 8 volunteers, including andrew and karen, 4 people are to be selected at random to organize a charity event. what is the probability that andrew will be among the 4 volunteers selected and karen will not? a. 3/7
b. 5/12
c. 27/70
d. 2/7
e. 9/35

Option D - .

Step-by-step explanation:

Given : From a group of 8 volunteers, including Andrew and Karen, 4 people are to be selected at random to organize a charity event.

To find : What is the probability that Andrew will be among the 4 volunteers selected and Karen will not?

Solution :

Choosing 4 people out of 8 volunteers is

Choosing a group of 4 with Andrew and no karein is given by,

One position is fixed by Andrew and Karein the number of volunteer left is 6.

Rest 3 volunteers is chosen from 6.

Choosing 3 people out of 6 volunteers is

The probability that Andrew will be among the 4 volunteers selected and Karen will not is given by,

The probability that Andrew will be among the 4 volunteers selected and Karen will not is .

Therefore, option D is correct.