Out of 1,000 people in a small town 500 are members of a choir. out of these 500 members in the choir 100 are men. out of the 500 inhabitants that are not in the choir 300 are men. what is the probability that a randomly drawn man is a member of the choir? indicate the probability as a decimal between 0 and 1 (0=0%, .5=50%, 1=100%).

In order to solve this questions we first have to arrange the given data in a Two Way table.

Out of 1000 people 500 are members of the choir and 500 are not members of choir. Out of 500 members 100 are men so 400 are not men. Out of 500 which are not the members 300 are men, so 200 are not men. The data is arranged in the image below.

We want to find the probability that a randomly drawn man is a member of the choir.
Total members of the choir = 500
Men which are members of the choir = 100

So, the probability that a randomly drawn man is a member of the choir = 100/500 = 0.20 = 20%