let a and b be two events with P(A) = 3/8, P(B) = 3/8, and P(A∩B) = 1/8. the value of P(A U B) is

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

A:

Q: Given events J and K: P(J) = 0.22; P(k) = 0.38; P (J or K) = 0.42 Find P(J AND K) find the…

A: P(A) +P(Ac) = 1

Q: A and B are independent events. If Pr(A∩B)=0.18 and Pr[A]=0.3 what is Pr[B]?

A: Independent events : The event A and event B are independent if ,  P( A∩B ) = P( A )×P( B )

Q: Suppose that A and B are two events for which P(A)=0.26, P(B)=0.76, and P(B|A)=0.51. Find each of…

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Q: Assume that A and B are events. If​ P(A∪​B)=0.7​, ​P(A)=0.2​, and ​P(B)=0.65​, find ​P(A∩​B).

A:

Q: If ​P(A∪​B)=0.8​, ​P(A)=0.2​, and ​P(A∩​B)=0.15​, find​ P(B). Assume that A and B are events.

A: Given information- We have given that A and B are events. P(A∪​B)=0.8​, ​P(A)=0.2​, P(A∩​B)=0.15. We…

Q: container contains 50 green tokens, 20 blue tokens, and 3 red tokens. Two kens are randomly selected…

A: It is given that the number of green tokens is 50, blue tokens is 20 and red tokens is 3.

Q: 5. The probability that at least one of the events A and B will occur is P(A ∪ B) = P(A) + P(B) −…

A: and

Q: Let A and B be events with =P(A)= 0.2, P(B)=, 0.88, and P(B|A)=0.6.…

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Q: assume that Pr[A∪B]=0.6 and Pr[A]=0.2 (1) What is Pr[B] if A and B are independent events?

A: Since A and B are independent event, so pr(A∩B)= pr(A)pr(B).

Q: Assume that A and B are events. If ​P(A∪​B)=0.6​, ​P(A)=0.5​, and ​P(B)=0.25​, find ​P(A∩​B).

A: Given information- We have given that A and B are events.  P(A)=0.5, P(B)=0.25​, P(A∪​B)=0.6​ We…

Q: A and B are two events such that P(A) = 0.4, P(B) = 0.8, and P(A and B) = 0.2.  Find P(A|B). Select…

A: P(A) = 0.4, P(B) = 0.8, and P(A and B) = 0.2.

Q: For two events A and B, P (A)=0.4, P(B)=0.2, and P(A)(B)=0.6  Find P (AnB).  ThE N IS SUPPOSED TO BE…

A: Given :  A and B are the two events where ,  P (A)=0.4, P(B)=0.2, and P(A∪B)=0.6  If A and B are two…

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: Let A and B be events with P(A)=0.5, P(B)=0.55, and P(B|A)=0.9. Find P(A and B). P(A and B) = X 5

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

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

A:

Q: Suppose that we have two events, A and B, with P(A)=0.60,P(B)=0.70, and P(A∩B)=0.40 a. Find P(A∣B)…

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Q: Suppose you play a game that you can only either win or lose. The probability that you win any game…

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Q: For this problem, assume that Pr[A∪B]=0.55Pr[A∪B]=0.55 and Pr[A]=0.25Pr[A]=0.25. (1) What is…

A: P(A or B) =0.55 and P(A) =0.25. Events A and B are independent.

Q: Let A and B be events with P(4) =0.3, P(B) =0.73, and P(B 4) = 0.9. Find P(A and B). P(4 and B) =

A: Given data:

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: A and B are independent events. If Pr(A∩B)=0.4 and Pr[A]=0.5 what is Pr[B]Pr[B]?

A: It is given that, P(A)=0.5, P(A and B)=0.4.

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.…

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Q: Given P(A) = 0.21, P(B) = 0.24, and P(B|A) = 0.24, are A and B independent or dependent?

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Q: Let A and B be two events and assume P(A) = 0.35 and P(B) = 0.45. Assume further that P (A|B) =…

A: P(A) = 0.35 P(B) = 0.45 P(A |B) = 0.80

Q: 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.…

A: GivenA and B are eventsP(A∪B)=0.6P(A)=0.4P(A∩B)=0.25

Q: AA and BB are independent events. If Pr(A∩B)=0.28 and Pr[A]=0.4, what is Pr[B]?

A:

Q: 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).

A: The question is about prob. of events Introduction : If A and B are two events then the condition…

Q: Given P(A) = 0.27, P(B) = 0.27, and P(B|A) = 0.21, are A and B independent or dependent?

A: Events A and B are said to be independent if P(A∩B)=P(A)·P(B) Given:  P(A) = 0.27, P(B) = 0.27, and…