Four girls and six boys are in a Spanish club. Three of the people will be chosen at random to represent the group in a photograph. What is the probability that one girl and two boys will be chosen?

The answer on E2020 is B: 50%

This is the concept of probability and statistics, we are required to find the probability of one girl and 2 boys to be chosen in a group of 4 girls and 6 boys; This information can be modeled by binomial distribution.

Here we shall proceed as follows;

P (B) = 3/5

P (G) = 2/5

P (x) = p^ (x) (1-p) ^ (n-x) (nCx)

P (x) = (3/5) ^6 (2/5) ^4 (10C6)

P (x) = 0.2508