Answer: 20 women
Explanation:
Making the total number of women in the club 'x', we can then do the following,
Total Number of Names in Hat, N
N = x + 10 ( total number of men)
therefore total number of names in the hat N=x+10
We need to select 3 people so sample size = 3
Using the Hypergeometric Distribution then we can then use the formula,
Expected number of women on the Committee = k * n / N
Where k is the total number
2 = x * 3 / (x + 10)
2 = 3x/(x +10)
3x = 2x +20
x = 20
There are 20 women in the club.
