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

The theoretical probability of four students from your school being selected as contestants out of 8 possible contestants spots =
`(14)/(165)`

Explanation:

The number of students participated = 30

Total audience = 150

By probability , to find the solution =
`(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=
`(8)/(140)`

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

n(E) =
`((4)/(30)) ((4)/(110))` =
`(16)/(3300)`

`(n(E))/(n(S))` =
`((16)/(3300))/((8)/(140))` =
`(14)/(165)`