SOLUTION: Elizabeth has 12 female friends and 10 male friends. If she is having an eight-person party, what is the probability that there will be 5 girls and 3 boys, if she chooses people at
Algebra ->
Probability-and-statistics
-> SOLUTION: Elizabeth has 12 female friends and 10 male friends. If she is having an eight-person party, what is the probability that there will be 5 girls and 3 boys, if she chooses people at
Log On
Question 313457: Elizabeth has 12 female friends and 10 male friends. If she is having an eight-person party, what is the probability that there will be 5 girls and 3 boys, if she chooses people at random? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Elizabeth has 12 female friends and 10 male friends. If she is having an eight-person party, what is the probability that there will be 5 girls and 3 boys, if she chooses people at random?
-------------------
# of ways to select 5 girls: 12C5
# of ways to select 3 boys: 10C3
------
# of ways to select 8 people randomly: 22C8
------------------------------------------------
P(5 girls and 3 boys) = [12C5*10C3]/[22C8] = 0.2972
===============
Cheers,
Stan H.
===============
(