Assume that there are 1000 men and 1000 women
MG as the men having grey hair, WG as the women having grey hair and G as the event of choosing an orator
P (MG) = 1000/2000 = 1/2
P (WG) = 1000/2000 = 1/2
We know that
P (G/MG) = 50/1000 = 1/20
P (G/WG) = 25/1000 = 1/40
Here we should determine
P (MG/G) – probability of a randomly selected grey haired person to be male
Substituting the values
On further calculation
= 1/40 × 80/3
= 2/3
Hence, the probability of a randomly selected grey haired person to be male is 2/3.