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A group of 3030 students from your school is part of the audience for a TV game show. The total number of people in the audience is 130130. What is the theoretical probability of 44 students from your school being selected as contestants out of 88 possible contestant​ spots?

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Answer:

Step-by-step explanation:

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

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