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 130. What is the theoretical
probability of 4 students from your school being selected as contestants out of 10
possible contestant spots?

Answer 1

Explanation:

The theoretical probability of 4 students from your school being selected as contestants out of 10 possible contestant spots is calculated as follows:

(Number of favorable outcomes) / (Number of total possible outcomes)

Number of favorable outcomes = C(30, 4) = 30! / (4! * (30-4)!) = 27,405

Number of total possible outcomes = C(130, 10) = 130! / (10! * (130-10)!) = 1,677,169,300

Theoretical probability = 27,405 / 1,677,169,300 = approximately 0.0000164, or 0.00164%.

So, the theoretical probability of 4 students from your school being selected as contestants out of 10 possible contestant spots is approximately 0.00164%.