Probability problem

Question

A court system needs to assign 3 out of 8 judges to a roster of criminal cases. 5 of the judges are male, and 3 are female. 

A) Does the selection of a judge involve a permutation or combination?

 

B) In how many ways can 3 judges be chosen?

 

C)If the judges are chosen randomly, what is the probability that all 3 judges are male?

Answer 1

B: 8C3

 

C: P(all male) = 5C3 / 8C3