Three (3) scholars will be picked randomly from a set of qualifiers consisting of 2 girls and 4 boys. What is the probability that 2 boys and a girl will be chosen?

1 answer

There are a total of 6 people from which 3 will be picked randomly, so there are 6C3 = 20 possible combinations of scholars that can be chosen.

To calculate the probability of selecting 2 boys and a girl, we need to find the number of ways that this can occur. There are 4C2 ways to choose 2 boys from the 4 available, and 2C1 ways to choose 1 girl from the 2 available. Thus, the number of possible combinations of scholars that consist of 2 boys and 1 girl is:

4C2 * 2C1 = 6 * 2 = 12

Therefore, the probability of selecting 2 boys and 1 girl is:

12/20 = 0.6 or 60%