Given
The data,
To find the probability that a person will be over 30 given they prefer afternoon movies.
Explanation:
Let A be the event that a person will be over 30 given they prefer afternoon movies.
Then,
[tex]\begin{gathered} n(S)=70 \\ n(A)=32 \end{gathered}[/tex]
Therefore,
[tex]\begin{gathered} P(A)=\frac{n(A)}{n(S)} \\ =\frac{70}{32} \\ =0.4571 \end{gathered}[/tex]
That implies, the percentage is,
[tex]\begin{gathered} Percentage=0.4571\times100 \\ =45.7\% \\ =46\% \end{gathered}[/tex]
Hence, the approximate probability is 46%.
