Question

On an algebra test, there were 3 As, 5 Bs, 10 Cs, 8 Ds, and 4 Fs. What is the probability distribution for the grades A, B, C, D, and F, in that order, when one of the grades is chosen at random?

Answer 1

You find that for A's it is 3/30=1/10..... so the answer is D

Answer 2

Answer with explanation:

Number of D's on the Algebra set =8 D's

Number of F's on the Algebra set =4 F's

Total Number of grades = 3 +5 +10+8+4=30

Probability of an Event

                      $=\frac{\text{Total Favorable Outcome}}{\text{Total Possible Outcome}}$

Probability of Grade A

                   $=\frac{3}{30}\\\\=\frac{1}{10}$

Probability of Grade B

                   $=\frac{5}{30}\\\\=\frac{1}{6}$

Probability of Grade C

                   $=\frac{10}{30}\\\\=\frac{1}{3}$

Probability of Grade D

                   $=\frac{8}{30}\\\\=\frac{4}{15}$

Probability of Grade F

                   $=\frac{4}{30}\\\\=\frac{2}{15}$

Option D:

$\frac{1}{10},\frac{1}{6},\frac{1}{3},\frac{4}{15},\frac{2}{15}$