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According to the general equation for conditional probability, if P(A^B)=3/4 and P(B)=4/5, what is P(A B)?

User Gemfield
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2 Answers

1 vote
the correct answer is 15/16

User Hjuskewycz
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8.1k points
3 votes

Answer:

The value of P(A|B) is
(15)/(16).

Explanation:

Given information:
P(A\cap B)=(3)/(4),
P(B)=(4)/(5)

Conditional probability


P(A|B)=(P(A\cap B))/(P(B))


P(A|B)=((3)/(4))/((4)/(5))


P(A|B)=(3)/(4)* (5)/(4)


P(A|B)=(15)/(16)

Therefore the value of P(A|B) is
(15)/(16).

User Daniel Laurindo
by
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