If A and B are independent events, P(A)=0.10, and P(B)=0.66, what is P(B|A)?

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Expert Solution

Here in This Question the detailed answers with step by step is given below,

Definition

The conditional probability of A given B, denoted P(A|B), is the probability that event A has occurred in a trial of a random experiment for which it is known that event B has definitely occurred. It may be computed by means of the following formula:

Rule for Conditional Probability

P(A|B)=P(A∩B)/P(B)

If P(A∩B)=P(A)⋅P(B)P(A∩B)=P(A)·P(B), then A and B are independent.

In a situation in which each of P(A)P(A) and P(B)P(B) can be computed and it is known that A and B are independent, then we can compute P(A∩B)P(A∩B) by multiplying togetherP(A)P(A) and P(B)P(B): P(A∩B)=P(A)⋅P(B).

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orchestra answered 10 months ago

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