SOLUTION: If anyone could help with this, that would be great.thanks Here is the problem: Mutual Funds The retirement plan for a company allows employees to invest in 10 different mut

Algebra ->  Probability-and-statistics -> SOLUTION: If anyone could help with this, that would be great.thanks Here is the problem: Mutual Funds The retirement plan for a company allows employees to invest in 10 different mut      Log On


   

Question 149995: If anyone could help with this, that would be great.thanks
Here is the problem:
Mutual Funds
The retirement plan for a company allows employees to invest in 10 different mutual funds. If Sam selected 4 of these funds at random, and 6 of the 10 grew by at least 10% over the last year, what is the probability that 3 of Sam's 4 funds grew by at least 10% last year?
i have tried many things nothing works.
Heidi


Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the number of ways to select 4 funds out of 10 is 10C4 or 210

the number of ways to select 3 funds out of 6 is 6C3 or 20

the number of ways to have 3 good funds with 1 poor fund is 20*6 or 120

so the probability of 3 out of 4 funds being good is 120/210 or 4/7