An experiment consists of two independent trials. The outcomes of the first trial are A, B, and C, with probabilities of occurring equal to 0.2, 0.4, and 0.4, respectively. The outcomes of the second trial are E and F, with probabilities of occurring equal to 0.7 and 0.3. Draw a tree diagram representing this experiment. Use this tree diagram to find the probabilities below.  (a)    P(B) (b)    P(F | B) (c)    P(B  F) (d)    P(F) (e) Does P(B  F) = P(B) · P(F)? YesNo     (f) Are B and F independent events? YesNo

Q: Let A and B be events in an experiment such that P(A) = 0.89, P(B) = 0.11, and P(A|B) = 50%. Find…

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Q: If A and B are events with P(A)=0.6, P(A OR B)=0.98, P(A AND B)=0.02, find P(B).

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Q: Suppose A and B are two independent events with P(a)=0.5 and P(b)=0.4 what is the P(A U B)?

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Q: If A and B are independent events with P(A)=0.1 and P(B)=0.7, find P(A AND B).

A: Introduction: Suppose X and Y are two events, with respective probabilities P (X) and P (Y). Denote…

Q: Given P(A) = 0.03, P(B) = 0.42, and P(A or B) = 0.11, are events A and B mutually exclusive?

A: Given: P(A) = 0.03 P(B) = 0.42 P(A or B) = 0.11 Objective of the question is to find if A and B are…

Q: If A and B are events with P(A) = 0.2, P(A OR B) = 0.61, and P(A AND B) = 0.19, find P(B). %3D…

A: Given Information: PA=0.2PA OR B=0.61PA AND B=0.19To find PB

Q: Given P(A) = 0.51, P(B) = 0.79, and P(A or B) = 0.66, are events A and B mutually exclusive?

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Q: Given that P(A) = 0.10, P(B) = 0.17, and P(A and B) = 0.0230, are events A and B independent?

A: P(A)=0.10P(B)=0.17P(A and B)=0.0230

Q: Given P(A and B) = 0.17, P(A) = 0.21, and P(B) = 0.81 are events A and B independent or dependent?…

A: Two events A and B are called independent if  P(A and B)= P(A)*P(B)

Q: Given P(A) = 0.59, P(B) = 0.51, P(C) = 0.09 and that events A, B, and C are independent, what is…

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Q: Given two events the probabilities of each occurring are as follows: P(G) = 0.26; P(H) = 0.35; P(H…

A: Given data, P(G) = 0.26; P(H) = 0.35; P(H AND G) =0.11  P(H OR G)=?

Q: Given P(A) = 0.34, P(B) = 0.60, and P(A or B) = 0.24, are events A and B mutually exclusive? %3D %3D…

A: From the provided information, P (A) = 0.34 P (B) = 0.60 P (A or B) = 0.24 Two events A and B are…

Q: Suppose that P(A)= 0.6 and P(B)= 0.5. If events A and B are independent, find the probabilities:…

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Q: If A and B are independent events with P(A)=0.9 and P(B)=0.8, find P(A AND B).

A: It is given that , A and B are the two independent events & their probabilities is P(A) = 0.9…

Q: Q3.(12) One store notes that the probability of some type of error in a telephone order is 0.2. A…

A: Let the random variable x denote the number  of orders of the telephone before getting the first…

Q: Given P(A) = 0.91, P(B) = 0.35, and the fact that events A and B are independent, What is P(A and…

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Q: An experiment consists of two independent trials. The outcomes of the first trial are A, B, and C,…

A: Given problem Given that   An experiment consists of two independent trials. The outcomes of the…

Q: The events A and B are mutually exclusive. If P(A) = .31 and P ( B) = .42, what is the P( A or B)

A: It is given that  P(A) = 0.31 P(B) = 0.42

Q: Given P(A) = 0.076, P(B) = 0.184, and P(C) = 0.159, and that events A, B, and C are mutually…

A: Solution: Mutually exclusive events: Two events A, B and C are said to be mutually exclusive when…

Q: Given two events G and H, the probabilities of each occurring are as follows: P(G) = 0.35; P(H) =…

A: GivenP(G)=0.35P(H)=0.9P(H and G) = 0.1

Q: If A and B are events with P(A)=0.4, P(A OR B)=0.78, and P(A AND B)=0.12, find P(B).

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment and…