Question

A community swim team has 150 members. Seventy-five of the members are advanced swimmers. Forty-seven of the members are intermediate swimmers. The remainder are novice swimmers. The coach wants to chose two members of the team to become her assistants.

c. What is the probability that the two assistants are advanced swimmers?

d. Suppose the coach wanted to make one of the two assistants a lead, and the other a support assistant. What is the probability that the lead and support are advanced swimmers?

Answer 1

Total members = 150

Advanced swimmers = 75

Intermediate swimmers = 47

Novice swimmers = 28

C) probabality that the two assistants are advanced swimmers

= 75C2 / 150C2

= 0.2483

D) suppose the coach wanted to make one of the two assistants a lead, and the other a support assistant.

Here, role of assistant does not matter but only matter which category of swimmers they fall.

Here,both are advanced swimmers

So, probabality that the lead and support are advanced swimmers

= 75C2 / 150C2

= 0.2483