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Question

The probabilities that student will receive A,B,C or D grade are 0.40,0.35,0.15 and 0.10 respectively. Find the probability that a student will recive
i) not an A grade
ii) B or C grade
iii) at most C grade

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Solution

let the probability that student receive A
grade be P(A)
P(A)=0.40
sim. P(B)=0.35
P(C)=0.15 and P(D)=0.10

(i) not an A grade
P (not on A grade)=1P(A)
=10.40
=0.60

(ii) B or C grade
P(B or C grade) =P(B)+P(C)
=0.35+0.15
=0.50

(iii) P (at most C grade) =P(C)+P(D)
=0.15+0.10
=0.25

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