Expected value probability help

Question

From a group of 3 women and 5 men, a delegation of 2 is selected. Find the expected  

number of women in the delegation

Answer 1

You need the hypergeometric distribution which will give the needed probabilities.

There are only 2 choices: 1 woman or 2 women.

The probability of 1 woman is 15/28 and of 2 women is 3/28.

The expectation is (15/28) + (6/28) = 21/28= 3/4