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Given that events A and B are independent with
P(A)=0.73 and
P(B∣A)=0.6, determine the value of
P(B), rounding to the nearest thousandth, if necessary.
Answer:

Given that events A and B are independent with $P(A)=0.73$ and $P(B \mid A)=0.6$ , determine the value of $P(B)$ , rounding to the nearest thousandth, if necessary. $\newline$ Answer:

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Identify independent and dependent events

Full solution

Q. Given that events A and B are independent with

P(A)=0.73

and

P(B \mid A)=0.6

, determine the value of

P(B)

, rounding to the nearest thousandth, if necessary.

\newline

Answer:

Define Independence: Since events $A$ and $B$ are independent, the probability of $B$ occurring is not affected by the occurrence of $A$ . Therefore, $P(B|A)$ is equal to $P(B)$ . We can use the definition of independent events to find $P(B)$ . $\newline$ Calculation: $P(B) = P(B|A) = 0.6$

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