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?

Respuesta :

Answer:[tex]\frac{15}{56}[/tex]

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

[tex]^6C_2[/tex] (beacuse we have to exclude Nina)

And total no of ways of selecting 3 people out of 8 people is [tex]^8C_3[/tex]

Therefore the required Probability is [tex]\frac{^6C_{2}}{^8C_{3}}[/tex]    

=[tex]\frac{15}{56}[/tex]