A delegation of 2 is chosen from a group of 3 women and 5 men , the expected number of women in the delegation is
Answers
Given : A delegation of 2 is chosen from a group of 3 women and 5 men
To find : the expected number of women in the delegation is
Solution:
3 women & 5 men
total = 8
2 person can be selected in ⁸C₂ = 28 ways
if 0 women selected then ways = ⁵C₂ = 10 ways
if 1 women selected then ways = ³C₁⁵C₁ = 15 ways
if 2 women selected then ways = ³C₂ = 3 ways
0 * 10 + 1 * 15 + 2 * 3 = 21
expected number of women in the delegation is = 21/28
= 3/4
= 0.75
expected number of women in the delegation is 0.75
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