Question

A students' choir contains 25 children and only 5 of them play the piano. If a child is selected at random, what is the probability that the child DOES NOT play the piano? Select all the right answers.

Answer 1

probability that the child DOES NOT play the piano

`P(E^(-)) =(4)/(5)`

Explanation:

A students' choir contains 25 children

n(S) =25

The number of students play the piano =5

Let 'E' be the event of the child play the piano so n(E) =5

The probability of that the child play the piano

`P(E) = (n(E))/(n(S))`

`P(E) = (5)/(25)= (1)/(5)`

Let 'E⁻ be the event of the child play does not play the piano

`P(E^(-)) = 1- P(E)`

`P(E^(-)) = 1- (1)/(5) =(4)/(5)`

Conclusion:-

probability that the child DOES NOT play the piano

`P(E^(-)) =(4)/(5)`