# To calculate: The probability that the selected student of 37-46 age group has received an "A" in the course. Given Information: A table depicting the grade distribution for a college algebra class based on age and grade.

To calculate: The probability that the selected student of 37-46 age group has received an "A" in the course.
Given Information:
A table depicting the grade distribution for a college algebra class based on age and grade.
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Formula used:
In a sample space, S, of equally likely, the probability of an event E is given by
$P\left(E\right)=\frac{\text{number of elements in the event}}{\text{number of elements in the sample space}}=\frac{n\left(E\right)}{n\left(S\right)}$
Calculation:
Denote the sample space as
$S=370$
Let R represent the event of selecting a student of 37-46 age group has received an "A" in the course
$R=150$
$P\left(R\right)=\frac{n\left(R\right)}{n\left(S\right)}=\frac{150}{370}=\frac{15}{37}$
Therefore, probability that the selected student of 37-46 age group has received an "A" in the course is $\frac{15}{37}$.