Formula used:

In a sample space, S, of equally likely, the probability of an event E is given by

\(\displaystyle{P}{\left({E}\right)}={\frac{{\nu{m}{b}{e}{r}\ {o}{f}\ {e}\le{m}{e}{n}{t}{s}\ \in\ {t}{h}{e}\ {e}{v}{e}{n}{t}}}{{\nu{m}{b}{e}{r}\ {o}{f}\ {e}\le{m}{e}{n}{t}{s}\ \in\ {t}{h}{e}\ {s}{a}\mp\le\ {s}{p}{a}{c}{e}}}}={\frac{{{n}{\left({E}\right)}}}{{{n}{\left({S}\right)}}}}\)

Calculation:

Denote the sample space as

\(\displaystyle{S}={1940}\)

Let R represent the event of selecting a student who received an "A" in the course, so

\(\displaystyle{R}={440}\)

\(\displaystyle{P}{\left({R}\right)}={\frac{{{n}{\left({R}\right)}}}{{{n}{\left({S}\right)}}}}={\frac{{{440}}}{{{1940}}}}={\frac{{{22}}}{{{97}}}}\)

Therefore, the probability that the selected student received an "A" in the course is \(\displaystyle{\frac{{{22}}}{{{97}}}}\).

In a sample space, S, of equally likely, the probability of an event E is given by

\(\displaystyle{P}{\left({E}\right)}={\frac{{\nu{m}{b}{e}{r}\ {o}{f}\ {e}\le{m}{e}{n}{t}{s}\ \in\ {t}{h}{e}\ {e}{v}{e}{n}{t}}}{{\nu{m}{b}{e}{r}\ {o}{f}\ {e}\le{m}{e}{n}{t}{s}\ \in\ {t}{h}{e}\ {s}{a}\mp\le\ {s}{p}{a}{c}{e}}}}={\frac{{{n}{\left({E}\right)}}}{{{n}{\left({S}\right)}}}}\)

Calculation:

Denote the sample space as

\(\displaystyle{S}={1940}\)

Let R represent the event of selecting a student who received an "A" in the course, so

\(\displaystyle{R}={440}\)

\(\displaystyle{P}{\left({R}\right)}={\frac{{{n}{\left({R}\right)}}}{{{n}{\left({S}\right)}}}}={\frac{{{440}}}{{{1940}}}}={\frac{{{22}}}{{{97}}}}\)

Therefore, the probability that the selected student received an "A" in the course is \(\displaystyle{\frac{{{22}}}{{{97}}}}\).