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question given that events a and b are independent with p(a) = 0.12 and…

Question

question
given that events a and b are independent with p(a) = 0.12 and p(b|a) = 0.8, determine the value of p(b), rounding to the nearest thousandth, if necessary.
answer attempt 1 out of 2
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Explanation:

Step1: Recall independence rule

For independent events, \( P(B|A) = P(B) \).

Step2: Identify given value

We know \( P(B|A) = 0.8 \), so by independence, \( P(B)=0.8 \).

Answer:

\( 0.8 \)