If A and B are events such that P(A) = 0.6 and P(AUB)=0.9, find P(B) when (a) A and B are mutually exclusive; (b) A and B are independent. (a) If A and B are mutually exclusive, then P(B) = (Type an integer or a decimal.) (b) If A and B are independent events, then P(B) = (Type an integer or a decimal.)

Q: A and B are two events such that P(A)-0.5 and P(B)-0.6 and P (AIB) = - then P (AIB) = 0.9 1 0.6 not…

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Q: Which of the following is NOT necessarily true for mutually exclusive events A and B? P(A B)=0…

A: If A and B are mutually exclusive events, then A∩B=∅. Then, we have P(A∩B)=P(AB)=0. 1.)…

Q: If A and B are mutually exclusive events then: Select one: P(A and B)=P(A)+P(B) PCA or B)-P(A)+P(B).

A: A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B…

Q: If P(A)=0.2, P(B)=0.1, and P(A∪B)=0.3, then P(A∩B)= Are events A and B independent? Are A and B…

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Q: Suppose we have three events A, B, and C. If P(A) > 0, P(B) > 0 and P(C) < 1, and we know that if…

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Q: If A, B are two events, where P(A)= 0.4, P(B)= 0.55, P(A U B) = 0.85, then P(AN B): %3D a. 0.1 O b.…

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Q: If A and B are independent events, which of the statements below are true? OP(AIB)-0 O P(AIB)-…

A: From the given information we find the probability.

Q: Suppose that AA and BB are two events for which P(A)=0.32P(A)=0.32, P(B)=0.73P(B)=0.73, and…

A: Given that : P(A)=0.32 P(B)=0.73     and    P(B|A)=0.37 By using the properties of basic and…

Q: When two events A and B are not mutually exclusive, the probability that A or B occur is P(A or B) =…

A: Solution: From the given information, two events A and B are not mutually exclusive.

Q: Define A, P(A) = 0.30, P(B) = 0.20, P(C) = 0.90 P(ANB) = 0.06, P(ANC) = 0.27, P(BOC) = 0.18,…

A: Given that  P(A) = 0.30, P(B) = 0.20, P(C) = 0.90 P(A n B) = 0.06, P(A n C) = 0.27, P(B n C) = 0.18,…

Q: Let A and B be independent events with P(A) = P(An B) = P(AUB) = 1 ·|6 1 and P(B) = Find P(An B) and…

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Q: Suppose A and B are events with P(A) = 0.25, P(B) = 0.64, and P(AUB) = 0.73. Then A and B…

A: Independent events : Let A and B be two events then the events are said to be independent if the…

Q: If A and B are mutually exclusive events such that P(A) = 0.45 and P(B)=0.35. Then P(A and B)= %3D…

A: Given that P(A) = 0.45 P(B) = 0.45 And given that A and B are mutually exclusive events

Q: If P(A)=0.40, P(B) = 0.75, and P(A and B)=0.30, then what is true about the events A and B? (A)…

A: (C)Event A and event B are not mutually exclusive and are independent. Explanation:Recall that two…

Q: Let A and B be independent events with P(A) " and P(B) =. Find P(AN B) and P(A U B).

A: Given that P(A) = 1/8 P(B) = 1/5

Q: If three events A, B and C are independent then P(ANBNC) = P(A) x P(B) x P(C) O True False

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Q: If P(A) = 0.4, P(B) = 0.2, and P(AU B) = 0.6, then P(AN B) = (a) Are events A and B independent?…

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Q: Let A and B are two events, not mutually exclusive. Suppose that P(A) =0.40, P(B)=0.32 and P(A or…

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Q: Suppose that A and B are two independent events for which P(A) = 0.17 and P(B) = 0.59 Find each of…

A: For the given data Find p(A/B ) =? P(B/A) =? P( A and B ) =? P (A or B ) =?

Q: If P(A) = 0.3, P(B) = 0.5, and P(AUB) = 0.74, then P(A^B) = (a) Are events A and B independent?…

A: P(A) = 0.3, P(B) = 0.5, P(A∪B) = 0.74

Q: If A and B are independent events such that P(A )=0.7 and P(B)=0.5 then P(A U B) O a. 0.9 O b. 0.5…

A: Probability: If a random experiment results in n mutually exclusive and equally likely outcomes; out…

Q: A,B, and C are mutually exclusive events such that P(A) = 0.2,P(B) = 0.6, and P(C) = 0.1. Find P(A…

A: The formula for P(A or B or C) is given below:

Q: If P(A) = 0.2, P(B) = 0.3, and P(A U B) = 0.48, then P(An B) =|. (a) Are events A and B independent?…

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Q: Suppose A and B are two events with P(A)=0.25P(A)=0.25 and P(B)=0.30P(B)=0.30. If…

A: Solution: Disjoint events: Two events said to be disjoint when the happening of two events does not…

Q: Suppose that A,B, & C are three independent events such that Pr(A)=1/4, Pr(B)=1/3, and Pr(C)=1/2. A.…

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Q: If A and B are events such that P(A)=0.2 and P(AUB)=0.6, find P(B) when (a) A and B are mutually…

A: According to the given information, we have P(A)=0.2P(A∪B)=0.6

Q: If P(A) = 0.30, P(B) = 0.20, P(A and B) = 0.09, what can be said about events A and B? Events A & B…

A: It is given that, P(A) = 0.30, P(B) = 0.20 and P(A and B) = 0.09.

Q: If P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0, which of the following is true?   A. Events A and B…

A: given data,p(A)=0.40p(B)=0.20p(A and B)=0which statement is true=?

Q: Let A and B be events such that P(A) = 0.6, P(B) = 0.5and P(A∪ B) = 0.8.Find P(A B)). Are A and B…

A: We have given that events  P(A) =0.6 P(B) =0.5 P(A∪ B) = 0.8 Note: According to Bartleby expert…

Q: If P(A) = 0.2, P(B) = 0.3, and P(AU B) = 0.5, then P(AN B) = (a) Are events A and B independent?…

A: The probability rule of addition gives us PA∪B = PA+PB-PA∩B

Q: If two events, A and B, are mutually exclusive, then P(A and B) = P(A) × P(B)

A: Mutually exclusive events are also called dis joint events. It means that events can't occur…

Q: of the above answers is correct. 21. If A and B are not-mutually exclusive events, then: cannot…

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Q: If P(A A. B. C. D. B) = 0 A and B are independent events. P(A) + P(B) = 1 A and B are mutually…

A: given data  P(A∩B) = 0 we have to find correct statement from given options.