Given that events A and B are independent with P(A)=0.92 and P(B)=0.15, determine the value of P(B∣A), rounding to the nearest thousandth, if necessary. Answer:

Independence of Events: Since events A and B are independent, the probability of B given A is the same as the probability of B alone. This is because the occurrence of A does not affect the occurrence of B. P(B∣A) = P(B)Calculation of Probability: We are given P(B) = 0.15. Therefore, P(B∣A) is also 0.15.Final Answer: We round the answer to the nearest thousandth if necessary. Since the probability is already to two decimal places, no rounding is needed.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Given that events A and B are independent with
P(A)=0.92 and
P(B)=0.15, determine the value of
P(B∣A), rounding to the nearest thousandth, if necessary.
Answer:

Given that events A and B are independent with $P(A)=0.92$ and $P(B)=0.15$ , determine the value of $P(B \mid A)$ , rounding to the nearest thousandth, if necessary. $\newline$ Answer:

View step-by-step help

Home

Math Problems

Algebra 1

Evaluate variable expressions for number sequences

Full solution

Q. Given that events A and B are independent with

P(A)=0.92

and

P(B)=0.15

, determine the value of

P(B \mid A)

, rounding to the nearest thousandth, if necessary.

\newline

Answer:

Independence of Events: Since events $A$ and $B$ are independent, the probability of $B$ given $A$ is the same as the probability of $B$ alone. This is because the occurrence of $A$ does not affect the occurrence of $B$ . $P(B\mid A) = P(B)$
Calculation of Probability: We are given $P(B) = 0.15$ . Therefore, $P(B\mid A)$ is also $0.15$ .
Final Answer: We round the answer to the nearest thousandth if necessary. Since the probability is already to two decimal places, no rounding is needed.