There are 7 women and 9 men if 2 are promoted what is the probability they are both men

3/10

Step-by-step explanation:

Total number of employees = 7 + 9 = 16

Probability of a man being chosen first to be promoted = 9/16

Probability of the second choice is still a man for promotion = 8/15

Why 8/15?

The number of men left who are eligible for promotion after the 1st man was chosen for promotion is 9 - 1 = 8

The total number of people left after the 1st person is chosen for promotion that are eligible for promotion is 16 - 1 = 15

Hence Probability of choosing 2 men for promotion = 9/16 x 8/15 = 3/10