Question

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 four students from your school being selected as contestants out of 8 possible contestants spots?​

Answer 1

Answer:

The theoretical probability of four students from your school being selected as contestants out of 8 possible contestants spots =  $\frac{14}{165}$

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

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