When two events cannot occur at the same time, they are said to be OA mutually exclusive. OB. not mutually exclusive. O C. dependent. OD. independent.

Q: If A and B are mutually exclusive events, then P(A U B) equals А.Р(А)+Р(B)-Р(АВ) В.Р(А)ХP(В)…

A: Event A and event B are two mutually exclusive events. The general formula of the probability of A…

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: Given  P(A and B) = 0.17 P(A) = 0.21 P(B) = 0.81 The occurrence of one event does not affect the…

Q: Given that P(A) = 0.42, P(B) = 0.04, and P(A and B) = 0.0168, are events A and B independent?

A: It is given that P(A)=0.42, P(B)=0.04, and P(A and B)=0.0168.

Q: If A and B are events such that ​P(A)equals=0.60 and P(A∪​B)equals=0.70​, find​ P(B) when ​(a) A…

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

Q: If A and B are independent events, P(A)=0.25, and P(B)=0.79, what is P(B|A)?

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Q: If A and B are mutually exclusive events with P (A) = 0.30 and P (B) = 0.40, then P (A or B) is:

A: GivenP(A)=0.30P(B)=0.40A and B are mutually exclusive

Q: For two events E and F, P(E) = 0.30, P(F) = 0.40, and P(E U F) = 0.70. Are E and F mutually…

A: Introduction: The occurrences that cannot occur or cannot occur at the same time are said to be…

Q: Given that P(A) = 0.13, P(B) = 0.31, and P(A and B) = 0.0052, are events A and B independent? Yes,…

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Q: Given P(A) = 0.72, P(B) = 0.81, and P(A or B) = 0.66, are events A and B mutually exclusive? 1) Yes,…

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Q: Given P(A and B) = 0.42, P(A) = 0.92, and P(B) = 0.05 are events A and B independent or dependent?

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Q: If A and B are independent events with P(A) = 0.35 and P(B) = 0.20, then, P(A ∪ B) =

A: We have given that two events A and B are independent. P(A) = 0.35 P(B) = 0.20 We have to find P (A…

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: Suppose a coin is tossed three times. A: Heads on the first toss B: Writing on the second shot C:…

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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: If A and B are independent events, P(A)=0.22, and P(B)=0.71, what is P(B|A)?

A: Given: A and B are independent P(A)=0.22 P(B)=0.71   A and B are independent means that occurring of…

Q: 1) Let P(A) = 0.2, P(B) = 0.6 and P(A or B) =0.5. Are events A and B mutually exclusive? Why or why…

A: Thank you for posting the question. Since you have asked multiple question, we will solve the first…

Q: Given P(A) = 0.47, P(B) = 0.41, and P(A or B) = 0.88, are events A and B mutually exclusive?

A: Mutually exclusive events: The two events A and B are mutually exclusive events, then probability P…

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: Given that P(A) = 0.47, P(B) = 0.07, and P(A and B) = 0.0329, are events A and B independent? O Yes,…

A: No. They are not independent.

Q: Any Tete uistributi8h is applicable when the events of interest occur randomly, independently of one…

A: True

Q: Given P(A) = 0.35, P(B) = 0.08, and P(A or B) = 0.43, are events A and B mutually exclusive?

A: Given: P(A) = 0.35 P(B) = 0.08 and P(A or B) = 0.43

Q: Given that P(A) = 0.09 P(B) = 0.20 and P(A and d B)=0.018 , are events A and independent ?

A: Given: P(A) = 0.09 P(B) = 0.20 P(A and B)=0.018 The objective is to find if events A and B are…

Q: Given that A and B are two mutually exclusive events, find  P(A or B) for the following. P(A) =…

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Q: Given that P(A) = 0.01, P(B) = 0.11, and P(A and B) = 0.0010, are events A and B independent? %3D…

A: Answer

Q: Given that P(A) = 0.06, P(B) = 0.23, and P(A and B) = 0.0258, are events A and B independent? Yes,…

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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 and B) = 0.20, P(A) = 0.49, and P(B) = 0.41 are events A and B independent or dependent?

A: Let A and B are two events. The known Probabilities are P(A and B) = 0.20, P(A) = 0.49, and P(B) =…

Q: If the outcome of event A is not affected by event B, then events A and B are said to be mutually…

A: Independence condition: If A and B are independent events, then P(A and B)=P(A)*P(B). That is,…

Q: Suppose that ? and ? are two independent events for which ?(?)=0.29 and ?(?)=0.64. Find each of the…

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Q: If two events are mutually exclusive, why is P(A and B) = 0? Choose the correct answer below. O A.…

A: Here We have  Mutually Exclusive Events: The Events which do not occur at same time. i.e they do not…

Q: If E and F are independent events with P(E) =0.4 and P(E or F) = 0.6,then find P(F).

A: It is given that E and F are independent events. The given probabilities are PE=0.4  and PE or…

Q: Given P(A) = 0.13, P(B) = 0.02, and P(A or B) = 0.15, are events A and B mutually exclusive?

A: Given that  P(A)=0.13 P(B)=0.02 P(A or B)=0.15 Definition of Mutually Exclusive- Two events are said…

Q: Given P(A and B) = 0.43, P(A) = 0.81, and P(B) = 0.25 are events A and B independent or dependent?

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Q: Suppose that, for events A and B, P(A)= 0.2, P(B)= 0.85, and P(AandB)= 0.17.   Are A and B…

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Q: Let ? and ? be two mutually exclusive events. Given that (?)=0.25 and ?(?∪?) =0.77, determine ?(?).

A: Given: P(A)=0.25 P(A∪B)=0.77

Q: If A and B are independent events associated with an experiment P(A) = 0.3, P(AUB) = 0.72, then the…

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Q: The statement that “?(?|?) = ?(?|?) whenever ? and ? are independent events” is

A: we have given that  independent events .

Q: When two events cannot occur at the same time, they are said to be ?

A: Disjoint events:   Let A and B be any two events, if the events A and B are mutually exclusive or…

Q: If A and B are mutually exclusive events, then prove that P ( A )<P ( B° )

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

A: If two events not occur at same time,then those events are called as mutually exclusive events.

Q: Given P(A) = 0.20, P(B) = 0.30, and P(A or B) = 0.50, are events A and B mutually exclusive?

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

Q: Determine whether each of the following statements is true or false, and explain why. If two events…

A: Given-  If two events are mutually exclusive, then they are independent. To determine- whether the…

Q: Given P(A) = 0.045, P(B) = 0.010, and P(C) = 0.084, and that events A, B, and C are mutually…

A: Given,P(A)=0.045P(B)=0.010P(C)=0.084and  A, B , C are mutually exclusivei.e…

Q: Can you explain: P(M^c ) union P(R)= P(M^c) +P(R) I thought this was true for only mutually…

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Q: Given P(A) = 0.21, P(B) = 0.11, and P(A or B) = 0.23, are events A and B mutually exclusive?

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Q: Given P(A)=0.37, P(B)=0.38, and P(A or B)=0.27, are events A and B mutually exclusive?

A: If A and B are mutually exclusive then P(A or B) = P(A) + P(B) Here, P(A or B) = 0.27 and P(A) +…

Q: events A and B mutually exclusive?

A: Given P(A) = 0.10, P(B) = 0.08, and P(A or B) = 0.18,

Q: and ?B are independent events with ?(?)=0.3P(A)=0.3 and ?(?)=0.4P(B)=0.4, calculate the following:…

A: If the probability of occurrence of one event is not affected by the probability of occurrence of…

Q: 4. Determine whether each of the following pairs of events is independent:

A: