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Given that events A and B are independent with
P(A)=0.9 and
P(B)=0.3, determine the value of
P(A∣B), rounding to the nearest thousandth, if necessary.
Answer:

Given that events A and B are independent with $P(A)=0.9$ and $P(B)=0.3$ , determine the value of $P(A \mid B)$ , rounding to the nearest thousandth, if necessary. $\newline$ Answer:

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Rate of travel: word problems

Full solution

Q. Given that events A and B are independent with

P(A)=0.9

and

P(B)=0.3

, determine the value of

P(A \mid B)

, rounding to the nearest thousandth, if necessary.

\newline

Answer:

Independent Events Explanation: Since events $A$ and $B$ are independent, the probability of $A$ given $B$ is the same as the probability of $A$ . This is because the occurrence of $B$ does not affect the probability of $A$ occurring. $\newline$ Calculation: $P(A\mid B) = P(A) = 0.9$

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