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A and B are independent events. P(A) = 0.3 P(B) = 0.5 What is P(ALB)?

A. 0.5
B. 0.3
C. Not enough information
D. 0.15​

User Chaniece
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2 Answers

16 votes
16 votes

Answer: .50

Step-by-step explanation: took quiz

User Merly
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15 votes
15 votes

Answer:

b

Explanation:

If Events A and B are independent of each other then Probabilty of Occurrence of Event A given that B has occured makes no change to Probabilty of Occurrence of A

Thus, P(A|B)=P(A)=0.3

Note :

It you want to go by formula …

P(A|B)=P(A and B)/P(B)..conditional probabilty

=P(A)*P(B)/P(B)…since A and B are independent events

=P(A)…since P(B) term gets cancelled from numerator and denominator

By definition P(A/B) = P(A.B)/P(B) = P(A).P(B)/P(B) = P(A) (as A, B are Independent events). Therefore;

P(A/B) = P(A) = 0.3 .

User Nathan Rice
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