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Given that events A and B are independent with
P(A)=0.43 and
P(B)=0.3, determine the value of
P(B∣A), rounding to the nearest thousandth, if necessary.
Answer:

Given that events A and B are independent with $P(A)=0.43$ and $P(B)=0.3$ , determine the value of $P(B \mid A)$ , rounding to the nearest thousandth, if necessary. $\newline$ Answer:

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Identify independent events

Full solution

Q. Given that events A and B are independent with

P(A)=0.43

and

P(B)=0.3

, determine the value of

P(B \mid A)

, rounding to the nearest thousandth, if necessary.

\newline

Answer:

Explanation: Since events $A$ and $B$ are independent, the probability of $B$ occurring given that $A$ has occurred is the same as the probability of $B$ occurring on its own. This is because the occurrence of $A$ does not affect the probability of $B$ occurring. $\newline$ Calculation: $P(B\mid A) = P(B) = 0.3$

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