Answer:
probability that the child DOES NOT play the piano
[tex]P(E^{-}) =\frac{4}{5}[/tex]
Step-by-step 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
[tex]P(E) = \frac{n(E)}{n(S)}[/tex]
[tex]P(E) = \frac{5}{25}= \frac{1}{5}[/tex]
Let 'E⁻ be the event of the child play does not play the piano
[tex]P(E^{-}) = 1- P(E)[/tex]
[tex]P(E^{-}) = 1- \frac{1}{5} =\frac{4}{5}[/tex]
Conclusion:-
probability that the child DOES NOT play the piano
[tex]P(E^{-}) =\frac{4}{5}[/tex]
