Let A and B be events where P(A)= .3, P(B)= .8, and P(A or B)= .9. Compute P( A and B).

Suppose two events E and F are independent.  Which of the following is true?   (1 answer) A. P(E and F) = P(E) x P(F) B. P(E and F) = 1 C. P(E and F) = P(E) + P(F) D. P(E and F) = 0

If ​P(A∪​B)=0.6​, ​P(A)=0.4​, and ​P(A∩​B)=0.25​, find​ P(B). Assume that A and B are events.   ​P(B)=

Let A and B be events with P(A) =0.4, P(B) =0.7, and P(B|A) =0.5. Find P (A and B).

Suppose that A and B are two independent events for which P(A)=0.34 and P(B)=0.57. Find each of the following: A. P(A|B)=  B. P(B|A)=  C. P(AandB)=  D. P(AorB)=

if two events A and B are manually exclusive, what is the value of P(A and B)?

Photos and videos have become an important part of the online social experience, with more than half of Internet users posting photos and videos online that they have taken themselves. Let A be the event an Internet user posts photos that he or she has personally taken, and B be the event an Internet user posts videos that he or she has personally taken. Pew Research Center finds that P(A) = 0.52, P(B) = 0.26, and P(A or B) = 0.54. What is the conditional probability that an Internet user posts photos that he or she has personally taken, given that he or she posts videos that he or she has personally taken? (Enter your answer rounded to three decimal places.) Р(A | В) —D

Suppose that A and B are two independent events for which P(A)=0.23 and P(B)=0.65. Find each of the following: A. P(A|B)= B. P(B|A)= C. P(AandB)=  D. P(AorB)=

Given P(A) = 0.21, P(B) = 0.99, P(C) = 0.31 and that events A, B, and C are independent, what is P(A, B, and C).

Let A and B be two events with P(A and Bc) = 1. Find P(B). Recall that Bc denotes the complement of the event B.