Question # To calculate: The probability that the selected student of 17-26 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.

Upper level algebra
ANSWERED To calculate: The probability that the selected student of 17-26 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. 2020-10-28

Formula used:
In a sample space, S, of equally likely, the probability of an event E is given by
$$\displaystyle{P}{\left({E}\right)}={\frac{{nu{m}{b}{e}{r}\ {o}{f}\ {e}le{m}{e}{n}{t}{s}\ in\ {t}{h}{e}\ {e}{v}{e}{n}{t}}}{{nu{m}{b}{e}{r}\ {o}{f}\ {e}le{m}{e}{n}{t}{s}\ in\ {t}{h}{e}\ {s}{a}mple\ {s}{p}{a}{c}{e}}}}={\frac{{{n}{\left({E}\right)}}}{{{n}{\left({S}\right)}}}}$$
Calculation:
Denote the sample space as
$$\displaystyle{S}={920}$$
Let R represent the event of selecting a student of 17-26 age group has received an "A" in the course
$$\displaystyle{R}={150}$$
$$\displaystyle{P}{\left({R}\right)}={\frac{{{n}{\left({R}\right)}}}{{{n}{\left({S}\right)}}}}={\frac{{{150}}}{{{920}}}}={\frac{{{15}}}{{{92}}}}$$
Therefore, probability that the selected student of 17-26 age group has received an "A" in the course is $$\displaystyle{\frac{{{15}}}{{{92}}}}$$.