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

Q: According to special rule of addition P(A or B) = P(A) + P(B), is true if and only if a.A and B are…

A: We need to find the special rule of addition for which P(A or B) = P(A) + P(B) is true .

Q: Two events can be both Dependent and NOT Disjoint. True False

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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: The intersection of event A and B is often denoted as "A or B" O True O False to

A: Please find the handwritten solution.

Q: If two events, Event A with probability P(A) and Event B with probability P(B) are independent, then…

A: Probability is a branch of mathematics which is basically deals with the chances of happening an…

Q: The statement "Two events are mutually exclusive if they cannot both occur", is correct?

A: The statement is "Two events are mutually exclusive if they cannot both occur".

Q: If the intersection of two events is a null set, then the events are? Sequential Mutually Exclusive…

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Q: If A denotes some event, what does A denote? If P(A) = 0.996, what is the value of P(Ā)? ..... What…

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Q: If an event is certain, then its probability is 0. O True O False

A: Solution Answer is  False

Q: If two events are disjoint, can they be independent? If yes, give an example; if no, prove that it…

A: Independent events: Two or more events are said to be independent if the occurrence of one does not…

Q: If the probability for one and only one event of A and B to happen is 0.3, P (A) = 0.2 and P (B) =…

A: Given: P(A)=0.2 P(B)=0.3  the probability for one and only one event of A and B to happen is 0.3

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 two events, A and B, are mutually exclusive, then P(A and B) = P(A) + P(B) True or False

A: When the two events cannot happen at the same time then these two events are called mutually…

Q: If two events (both with probability greater than 0) are mutually exclusive, then:   a.   They…

A: We have to find correct statement for mutually exclusive events.

Q: Are the events ‘Korea’ and ‘Black’ Mutually Exclusive? Justify your response. 2.  Are the events…

A: 1. Mutually Exclusive Events: The events E and F are mutually exclusive events. That is, P(E and…

Q: If A, B, C are are independent of C. independent events, show directly that both AUB and A\ B

A: Given that A, B, and C are independent means that, A∩B=B∩C=C∩A=A∩B∩C=φ.... (1) Now, A∪B be can be…

Q: Suppose A and B are two independent events. Prove A' and B are independent events. (Note: this is…

A: Given A and B are independent

Q: If it is impossible for events A and B to occur simultaneously, the events are said to be________ .…

A: Two events are called mutually exclusive if they cannot occur at the same time.   Therefore, If it…

Q: If two events A and B are mutually exclusive, then P(A and B) = O 0.5 01 O 0.025 O 0.1

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Q: If P(A) = 0.6 and P(B) = 0.5, then A and B can be disjoint events. true or false?

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Q: Since events A and B are independent events; Prove that the events depicted in the picture are…

A: Given that the events A and B are independent events.

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

A: Definition of independent events.

Q: If two events are mutually exclusive and collectively exhaustive, what is the probability that one…

A: The probability that one of the events occurs is obtained below: Here, the event A and B are…

Q: Suppose that A,B, and C are three events that cannot all occur simultaneously. Does this condition…

A: Venn diagramVenn diagram is a diagrammatic representation of sets which shows the relationship…

Q: If two events are mutually exclusive, the probability that both occur at the 1 pol same time is O 50…

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Q: Two events are mutually exclusive if_ O They are independent

A: Mutually Exclusive Events: If the events E and F are mutually exclusive events, then there is no…

Q: If events A, B, and C are independent, show that(a) A and B ∩ C are independent;(b) A and B ∪ C are…

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Q: Suppose that event A and Event B are independent events. Which of the following statements is NOT…

A: The theory of probability has its origin in the seventeenth century.The king of France who…

Q: If two events are mutually exclusive, then they are independent. select one : a. True b. False

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Q: (5) If two events A and B are mutually exclusive, then the joint events, AnC and BOC are also…

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Q: If the probability of one event has no influence on the probability of the other then the events are…

A: If the probability of one event has no influence on the probability of other then the event are said…

Q: If only one of two or more events can occur they are considered  non-mutually exclusive. Select…

A: We have given that If only one of two or more events can occur they are considered  non-mutually…

Q: If event A and event B are as above and event A has probability 0.3 and event B has probability 0.1,…

A: The following information has been given: Event A has probability P(A)=0.3 Event B has probability…

Q: If the events A and B are independent, then so are A and B

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Q: If A and B are two mutually exclusive events and PLA) = P(B), then P(A)= %3D o 3

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Q: Theorem 3-9. If A, B, C are mutually independent events then A UB and C are also ndependent.

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Q: An event that cannot be defined in terms of more basic outcomes is called a

A: Event is the outcome of a random experiment. For example, the occurrence of head atleast once in 2…

Q: Theorem 3.10. If the events A and B are such that P(A) #0, P(B) ±0 and A is independent of B, then B…

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Q: CONSIDER two events A and B PROVE that if Bc A then P(B) < P(A)

A: We have to answer question based on set

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: 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: : If A, B, C are mutually independent events then A UB and C are also independent.

A: Answer: For the given data,

Q: Theorem 3-18. If A and B are independent events, then (i) A and B (ii) A and B (iii) A and B, are…

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Q: One coin is tossed twice. Case A is the first shot coming in tails, case B is the second shot coming…

A: It was stated that a coin is tossed twice. Case A is the first shot coming in tails. case B is the…

Q: Prove that if two events, A and B, are mutually exclusive, then P(A | A U B ) = P(A) / ( P(A) + P(B)…

A: If two events are mutually exclusive, then the two events are disjoint event.In other words, if A…

Q: If A denotes some event, what does Ā denote? If P(A) = 0.996, what is the value of P(Ā)? ..... What…

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Q: If two events A and B are not mutually exclusive, then P(A U B) can be computed by the formula P(A U…

A: Given that A and B are not mutually exclusive. So it will roughly look like:

Q: If two events are mutually exclusive, then: A They cannot be complements. B) the events can occur at…

A: Mutually exclusive events: If the occurrence of one precludes the occurrence pf others. For example,…

Q: If two events are mutually exclusive, then the following is true: a. They cannot be mutually…

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Q: If event A is a subset of event B, then P(AN B )is

A: Ans: If event A is a subset of event B, then P( A∩Bc )  is