Question

A charity is conducting a raffle, and it sells one ticket each to 35 women and 21 men. If 5 winners are randomly selected, what is the probability that they are all men? Round to five decimal places.

Answer 1

The probability that they are all men is 0.00533

Explanation:

Here, we want to find the probability that all winners selected are men

Total number of ticket sold is 35 + 21 = 56

What this mean is that out of the 56, we are selecting 5 and out of the 21, we are selecting 5 also

So we use a combination formula;

21 C 5/ 56 C 5

= 20,349/3,819,816

The probability is; 0.00532721995

The probability that they are all men is 0.00533