A swim team consists of 7 boys and 6 girls. A relay team of 4 swimmers is chosen at random from the team members. What is the probability that there are 2 boys on the relay team given that there are 2 girls on the relay team? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

21/55

Step-by-step explanation:

Since there are already 2 girls on the relay team, what is left is to select 2 individuals be it a girl or a boy from the remaining 7 boys and 4 boys.

This can be done in 11C2 ways, and this equal 55 ways.

Now, we were told that we want exactly 2 boys on the team to join the other 2 girls already on the team. This mean we select 2 boys from the 7 boys. This can be done in 7C2 ways and this equals 21 ways.

Our probability is now 21/55