Question

A group of 30 students from your school is part of the audience for a TV game show. The total number of people in the audience is 150. What is the theoretical probability of 4 students from your school being selected as contestants out of 9 possible contestant​ spots?

Answer 1

Answer:

In general, probably can be found as n(E)/n(S), where n(E) is the number of favorable outcomes, and n(S) is the number of total outcomes.

n(S) is the number of ways any 9 students can by picked from the audience, which is 9/140.

n(E) is the probability of picking four students from our school and five students from another school. This is (4/30)*(5/110) = 9/3300 =3/1100

n(E)/n(S) = (3/1100) / (9/140) = (3/1100) * (140/9) = 14/330