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 exclusive; (b) A and B are independent. (a) If A and B are mutually exclusive, then P(B) = 0. (Type an integer or a decimal.)

Q: Use your own personal experience with the events described to determine whether E and F are…

A: Following event are given E is the event "having naturally blond hair," F is the event "having…

Q: Suppose that A and B are events such that P(A) = 0.84,P(B) = 0.46, and P(A&B) = 0.38. Determine…

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Q: Suppose that A and B are mutually exclusive events such that P(A) = 0.25 and P(B) = 0.40. Determine…

A: Special Addition Rule:

Q: events A and B are mutually exclusive, then P(A) + P(B) = 0. True or false?

A: Given that  If two event A and B are mutually exclusive.

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: Suppose that E and F are two events and that P(E) = 0.3 and P(F|E) = 0.6. What is P(E and F)? P(E…

A: We have to find p( E and F)

Q: Suppose that A, B are two independent events, with P(A) = .1 and P(B) = .2. Find P(A|B).

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Q: A student goes to the library. Let events B = the student checks out a book and D = the student…

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Q: If A and B are independent events, prove that the following pairs of events are independent: Ac and…

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Q: If A and B are events such that ​P(A)=0.2 and ​P(A∪​B)=0.4​, find​ P(B) when ​(a) A and B are…

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Q: When A and B are any two events such that P(A) = 0.55, P(B) = 0.41 and P(AUB) = 0.4 then P(AN B) =…

A: We have to find given probability.

Q: Let event G = taking a math class. Let event H = taking a science class. Then, G ∩ H = taking a math…

A: Given that P(G) = 0.34, P(H) = 0.32, and P(G ∪ H) = 0.53 What is P(G|H) ?

Q: Let A and B be events such that P (A) = 4/10 and that P (A∪B) = 7/10  Find the probability of B…

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Q: Suppose P(A) = 0.4, P(B) = 0.3, and P(A n B) = 0. Which one of the following statements correctly…

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Q: The Addition Rule says that P(A or B) = P(A) + P(B). What must be TRUE about events A and B for this…

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Q: Let A and B be events such that​ Pr[A] =0.370.37​, Pr[B] =0.630.63​, and​  Pr[A ∩​ B] =0.240.24.…

A: Required to calculate the conditional probability that A occurs given B has occured, P(A|B)

Q: Suppose A and B are two events such that, P(A)=0.4, P(B)=0.3 and P(A and B)=0.1a.Find 푃퐴!b.Find…

A: We have the formula

Q: Suppose A and B are mutually exclusive events. P(A)= 0.33, P(B)= 0.30 Calculate P(A or B)?

A: Answer: Given that, A and B are mutually exclusive events P(A) = 0.33 P(B) = 0.30

Q: Let A and B be events such that​ Pr[A] = 0.43​, ​Pr[B] = 0.54​, and​ Pr[A ∩​ B] = 0.23. Find ​…

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Q: On the assumption that the two events A and B are mutually exclusive, P(A or B)= P(A)+ P(B). How…

A: If two events A and B are mutually exclusive i.e they can not be occur simultaneously then  P(A and…

Q: Let E, F, and G be three events. Find expressions for the events so that, of E, F. and G,

A: Here, we are using definitions of union, intersection and complement. For event A, B A∪B- event in…

Q: If events A and B are independent, then P(A U B) = 0. True or false?

A: Introduction: If the occurrence of 1 event has no pertaining to the likelihood that the opposite…

Q: Let P(A) = p, P(A | B) = q, P(B | A) = r. Find relations between the number p, q, r for the…

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Q: P(A) + P(B) = 1 for any events A and B that are mutually exclusive.    True  False

A: We have given that,  P(A) + P(B) = 1 for any events A and B that are mutually exclusive  ?  Then, We…

Q: Let A and B be two events with P(A and Bc) = 1. Find P(B). Recall that Bc denotes the complement of…

A: Intersection of events:The probability that events A and B both occur is the probability of the…

Q: Let A and B be independent events with P(A) = 0.47 and P(B) = 0.33 . Find P(A and B)

A: Given,  P(A) = 0.47 P(B) = 0.33 A and B are independent events  For independent events P(A and B) =…

Q: Suppose that A and B are two events for which P(A)=0.22, P(B)=0.82, and P(AandB)=0.36 Find P(A|B).

A: We have to find conditional probability. Formula : P(A|B)=P(A and B)P(B)