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yKpoI14uk [10]
3 years ago
10

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 1

50 what is the theoretical probability of four students from your school being selected as contestants out of 8 possible contestants spots?​
Mathematics
1 answer:
Soloha48 [4]3 years ago
7 0
<h2>Answer:</h2><h2>The theoretical probability of four students from your school being selected as contestants out of 8 possible contestants spots =  \frac{14}{165}</h2>

Step-by-step explanation:

The number of students participated  = 30

Total audience = 150

By probability , to find the solution = \frac{n(E)}{n(S)}  

where n(E) is the number of favorable outcomes,

n(S) is the number of total outcomes.

 n(S) is the number of ways any 8 students can by picked from the audience=  \frac{8}{140}

 n(E) is the probability of picking four students from our school and five students from another school.

n(E) = (\frac{4}{30}) (\frac{4}{110}) = \frac{16}{3300}

\frac{n(E)}{n(S)}  = \frac{\frac{16}{3300}}{\frac{8}{140}} = \frac{14}{165}

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