Probability with a group of students

Question

 the group of students who are selecting 2 of their group at random to give a report, but assume that there are 8 males and 3 females.

For the following questions, enter your answers as fractions.

What is the probability that 2 females are selected?



What is the probability that 2 males are selected?

Answer 1

The rule for probability is that you first take your desired outcomes and then divide by your total number of possible outcomes.

 

Ways of choosing 2 females: 3C2

Ways of choosing 2 males: 8C2

Ways of choosing 2 people: 11C2

 

P(2 females selected) = ₃C₂ / ₁₁C₂

P(2 males selected) = ₈C₂ / ₁₁C₂