a) Show that the probability of the union of (non-mutually exclusive) events A and B can be written as follows: P(A U B) = P(A)P(Ē|A) + P(B)

Q: U and V are mutually exclusive events. P(U) = 0.33; P(V) = 0.54. Find: a. P(U and V) = b. P(U|V) =…

A: It is given that P(U)=0.33 and P(V)=0.54.

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

A: If P(A and B)=0 then A and B are independent events And if P(A and B )≠0 then A and B are dependent…

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: Given P(A) = 0.67, P(B) = 0.70, and the fact that events A and B are independent, What is P(A and…

A: GivenP(A)=0.67P(B)=0.70The events A and B are independent

Q: Suppose P(C) = .70, P(D) = .20, and events C and D are independent. Find: a) P(C and D) b P(C or D)

A: It is provided that P(C) = 0.70, P(D) = 0.20 and the events C and D are independent.(a) P(C and D) =…

Q: U and V are mutually exclusive events. P(U) = 0.21; P(V) = 0.4. Find:  a.  P(U and V) =  b.…

A:

Q: Given P(A) = 0.2 and P(B) = 0.8, do the following. (a) If A and B are independent events, compute…

A: Given data P(A) = 0.2 P(B) = 0.8 a) If A and B are independent events Then P(A and B) = P(A) x P(B)…

Q: Suppose P(A) = 0.28 and P(B) = 0.48 and A and B are independent. Events A and B are not disjoint.…

A: Answer is mentioned below

Q: If P(A)=0.3 and P(B)=0.6, find each probability  a) P(A and B) if A and B are independent events…

A:

Q: Suppose A and B are two independent events, with P(A) = 0.20 and P(B) = 0.60. What is P(A U B). a)…

A: We have given that, A and B are two independent events, with P(A) = 0.20 and P(B) = 0.60.   We know…

Q: If A and B are independent events with P(A)=0.9 and P(B)=0.6, find P(A AND B).

A: Given that A and B are independent events. P(A) = 0.9 P(B) = 0.6

Q: For two events A and B , P(A)=0.7 , P(B)=0.4 , and P(A∩B)=0.28. Determine whether or not A and B are…

A: Given that  P(A)=0.7 , P(B)=0.4 , and P(A∩B)=0.28

Q: I need answers for B, C.  Three friends (A, B, and C) will participate in a round-robin tournament…

A: Provided information is ; P(A beats B) = 0.2P(A beats C) = 0.4P(B beats C) = 0.7 Calculation : Now…

Q: Suppose that P(A) - 0.3 and P(B) = 0.6. If events A and B are mutually exclusive, find the following…

A: Mutually exclusive events [MEE]:

Q: For independent events A and B , P(A)=0.80 and P(B)=0.20, Find P(A∩B) a. 1/2 b. 1/4 c. 16/25 d.…

A: Two events A and B are given.

Q: If P(A|B) = 0.5 and P(B) = 0.5, then the events A and B are independent. ture or fals

A: Given :  P(A|B) = 0.5 P (B) = 0.5 A and B are independent events. Then,

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.…

A:

Q: Suppose A and B are two independent events, with P(A) = 0.20 and P(B) = 0.60. What is P(B|A). a)…

A: Given : Suppose A and B are two independent events   P(A) = 0.20 P(B) = 0.60

Q: Show that the probability of the union of (non-mutually exclusive) events A and B can be written as…

A:

Q: n a tennis tournament between three players A,B and C, each player plays the others once. The…

A: From the given information,   P(A beats B ) =0.5, P(A beats C) =0.7, and P(B beats C) = 0.4.…

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: Determine whether the events are independent. 2) Suppose the probability of event A is p(A) = .83…

A: Given that,

Q: Three friends (A, B, and C) will participate in a round-robin tournament in which each one plays…

A: Each person can win if: A wins BB wins CC wins A That is, A beats BB beats CA does not beat C

Q: A gambler has a probability of 0.4 of picking a winning team. What id the probability that the…

A: Given  W=Win, L =loss P(win)=P(W)=0.4  P(LLLW)=?

Q: Let A and B be two events such that P(A)=0.5, and the probability that neither occurs is 0.3. Find…

A:

Q: Customers at a gas station pay with credit card (A), debit card (B), and cash (C).  Assume each…

A: Given: Customers at a gas station pay with credit card (A), debit card (B), and cash (C). P(A) =…

Q: Which of the following equalities does not imply that the events A and B are independent??

A: Here use property of independent event

Q: If A and B are dependent events such that P(A) = 5/8  and P(B|A) = 3/7, find P(A ∩ B).

A: Given data, P(A) = 5/8   P(B|A) = 3/7 P(A ∩ B)=?

Q: Let A and B be events with P(A) = 0.5, P(B) = 0.4. Assume that A and B are independent. Find P(A and…

A: Here the events are indepenedent P(A) = 0.5 P(B) = 0.4

Q: Consider the figure below and calculate the following probabilities: (a) P(C|A) (b) P(B|A N B) (c)…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: Suppose A and B are events with P(A) = 0.3, P(B) = 0.65, and P(B|A) = 0.6. Find the value of P(A or…

A:

Q: Show that the probability that an event A or an event B or both will occur is given by the formula…

A: Probability of an event A = P(A) Probability of occurring event B = P(B) Probability of occurring A…

Q: Determine if events A and B are independent: P(A) = 0.6 P(B) = 0.8 P(A ∩ B) = 0.2

A: Given,   The objective is to determine if events A and B are independent.

Q: Suppose that A and B are two events for which P(A)=0.31, P(B)=0.68, and P(AandB)=0.31 Find P(A|B)

A: According to the given information, we have There are two events A and B i.e. P(A) = 0.31 P(B) =…

Q: and V are mutually exclusive events. P(U) = 0.29; P(V) = 0.52. Find:  a.  P(U and V) =  b.…

A: From the provided information, P (U) = 0.29 P (V) = 0.52