2) Events A and B have respective probabilities P(A) = 0.4 and P(B) = 0.5. You also know that P(A ∪ B) = 0.7. (a) What is P(A|B)? (b) What is P(B|A)?

Q: Which pairs of events are independent?     (a) P(A) = 0.67, P(B) = 0.58, P(A∩B) = 0.35.         A…

A:

Q: P(A)=0.56,P(B)=0.54,P(B∪A)=0.91P(A)=0.56,P(B)=0.54,P(B∪A)=0.91 Find the following probabilities.…

A:

Q: If P(A) > 0, P(B) > 0, and P(A n B) = 0, then the events A and B are independent. true or false?

A: Solution-: If P(A) >0, P(B)>0 and  P(A∩B)=0, then the events A and B are independent. We find…

Q: Given that P(A)P(A) = 0.4, P(B)P(B) = 0.51, and P(A∣B)P(A∣B) = 0.63, find the probabilities:…

A:

Q: Supposed P(F) = .25, P(F or G) = .70, and events F and G are mutually exclusive.  Find: a) P(G)…

A: (a)If events F and G are mutually exclusive, then, P (F or G) = P(F)+ P(G).Or, P(G) = P (F or G) –…

Q: Prior Probabilities for A1 and A2: P(A1)=0.20, P(A2)=0.40, (A1) and (A2) are mutually exlcusive.…

A: Data given P(A1)=0.20, P(A2)=0.40, (B|A1)=0.20, P(B|A2)=0.05

Q: Given P(A) = 0.67, P(B) = 0.70, and the fact that events A and B are independent, What is P(A and…

A: GivenP(A)=0.67P(B)=0.70The events A and B are independent

Q: (a) Pr(B|A) = 1/2. (b) Pr(B) = 4/7. (c) Pr(A| B) = 7/13. (d) The events A and B are mutually…

A: Given that, A bag contains 4 green balls and 3 red balls. A ball is selected at random from the bag.…

Q: Given that P(A)P(A) = 0.49, P(B)P(B) = 0.63, and P(A∣B)P(A∣B) = 0.46, find the probabilities:…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: Find P(U or V)P(U or V).

A: Concept: Two events are said to be mutually exclusive if both the events cannot occur at the same…

Q: Suppose P(A) = .2, P(B) = .5, and P(A and B) = .1. What is P(A or B)?

A:

Q: We are asked to find the probability of event A occurring given that event B occurs. This is…

A: By conditional probability theorem, the probability of event A occurs, provided that the event B has…

Q: you are givin the information that P(A) = 30 and P(B) = 0.40. Do you have enough information to…

A:

Q: P(A)=0.64,P(B)=0.45,P(B∪A)=0.92 Find the following probabilities. P(A∩B) =  P(B|A¯) =  P(A¯|B) =

A: We have given that,  P(A)=0.64, P(B)=0.45, P(B∪A) or P(AUB) =0.92 Then,  We will find the following…

Q: Find the probability of selecting 9 or more girls. 00.122 00.435 00.212 O 0.001

A: Given that  The probabilities corresponding to the 14 possible values of x are summarized in the…

Q: If P(A) = 0.4, P(B) = 0.9, \ and P(An B) = 0.3, \ then (a) P(A|B) = \ and (b) P(B|A) =

A: We have to find given probability...

Q: Η 0.1 0.4 11 0.25 C

A: The given Venn diagram is

Q: (iii)It P(AB) = 0, then the two events A and B are said to be (a) dependent (b) independent (c)…

A: ⇒ P(A∩B) can be written as P(AB).

Q: Let A and B be two events with probabilities P(A) = 0.6, P(B) = 0.4 and P(A and B) = 0.2. (a) Find…

A: Given: P(A) = 0.6 P(B) = 0.4 P(A and B) = 0.2 Plug in all the values in the formula.

Q: If P(E∩F)=0.09, P(E|F)=0.45P, and P(F|E)=0.5, then (a)   P(E)= (b)   P(F)= (c)   P(E∪F)= (d) Are the…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Given that P(A)P(A) = 0.37, P(B)P(B) = 0.36, and P(A∣B)P(A∣B) = 0.31, find the probabilities:…

A: Given that P(A) = 0.37, P(B) = 0.36, and P(A∣B) = 0.31 find the probabilities:

Q: For two events A and B, P(A)=0.24, P(B)=0.57, and P(A∩B)=0.32. a.Find P(A|B) b. Find P(B|A) c.…

A: