Knowee
Questions
Features
Study Tools

Let A and B be two independent events. If P(B) = 0.5, what can you say about P(B | A)? Cannot find it because P(A) is not known. Cannot find it because P(B and A) is not known. Cannot find it because both P(A) and P(B and A) are not known. It is equal to 0.5. It is equal to 0.25.

Question

Let A and B be two independent events. If P(B) = 0.5, what can you say about P(B | A)? Cannot find it because P(A) is not known. Cannot find it because P(B and A) is not known. Cannot find it because both P(A) and P(B and A) are not known. It is equal to 0.5. It is equal to 0.25.

🧐 Not the exact question you are looking for?Go ask a question

Solution

The answer is "It is equal to 0.5". This is because A and B are independent events. The probability of event B occurring given that event A has occurred is the same as the probability of event B occurring. This is the definition of independent events. Therefore, P(B | A) = P(B) = 0.5.

Similar Questions

Since P(A | B) ≠ P(A), the occurrence of event B the probability that event A will occur. This implies that A and B are not independent events.

If two events A and B are independent and you know that P(A) = 0.35, what is the value of P(A | B)?

Suppose that the probability of event A is 0.2 and the probability of event B is 0.4. Also, suppose that the two events are independent. Then P(A|B) is:Question 16Select one:a.P(A)/P(B) = 0.2/0.4 = ½b.None of the above.c.P(A) = 0.2d.P(A) × P(B) = (0.2)(0.4) = 0.08

A and B are independent events.P(A) = 0.50P(B) = 0.20What is P(A|B)?A.0.20B.Not enough informationC.0.50D.0.10SUBMITarrow_backPREVIOUS

Given P(A) = 0.3, P(B) = 0.5, P(A | B) = 0.3, do the following.(a) Compute P(A and B).(b) Compute P(A or B).Step 1(a) Compute P(A and B).To compute P(A and B) means that we wish to find the probability that both A happened and B happened. We are given that P(A) = 0.3, P(B) = 0.5, and P(A | B) = 0.3.Since P(A | B) ≠ P(A), the occurrence of event B the probability that event A will occur. This implies that A and B are not independent events.So, to determine P(A and B), we can apply the general multiplication rule for events.P(A and B)  =  P(B) · P(A | B) =  (0.5) ·    =

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.