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

`=(3)/(30)\\\\=(1)/(10)`

Probability of Grade B

`=(5)/(30)\\\\=(1)/(6)`

Probability of Grade C

`=(10)/(30)\\\\=(1)/(3)`

Probability of Grade D

`=(8)/(30)\\\\=(4)/(15)`

Probability of Grade F

`=(4)/(30)\\\\=(2)/(15)`

Option D:

`(1)/(10),(1)/(6),(1)/(3),(4)/(15),(2)/(15)`