Question

From a group of 8 people, including George and Nina, 3 people are to be selected at random to work on a certain project. What is the probability that the 3 people selected will include George but not Nina?

Answer 1

Answer:$\frac{15}{56}$

Step-by-step explanation:

We have to select george but not nina with two other people

No. of ways  selecting 2 two people knowing Geroge will be the third one is

$^6C_2$ (beacuse we have to exclude Nina)

And total no of ways of selecting 3 people out of 8 people is $^8C_3$

Therefore the required Probability is $\frac{^6C_{2}}{^8C_{3}}$    

=$\frac{15}{56}$