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

Q: Let A and B be two events such that P(A) = 1/7, P(AUB) =1/2, and P(AB) =1/2  Determine P(B)

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Q: A and B are mutually exclusive events, and P(B) P(AUB 18 then P(A) 18 5/18 3/18 2/18 1/18

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Q: Let A and B be events with P(A) =0.7, P(B) = 0.44, and P(B|4) = 0.8. Find P(A and B). P(4 and B) =

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Q: if A and B are disjoint events with P(A) = 0.20 and P(B) = 0.50 Then P(A/AUB) =

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Q: If A,B,C are mutually exclusive events with PĀ) = 0.45, P(B) = 0.36, then P(AN B) = a. 0.91 O b.…

A: PA=0.45 PB=0.36

Q: If A and B are two mutually exclusive events with P(a) > O and P(b) > 0 then it implies they are…

A: Hello, thanks for your question but according to our policy I am answering the very first question.…

Q: Suppose that the events A, B, and C are independents, where P(A)= 1/2, P(B)=1/3, and P(C)= 1/4. What…

A: Given that A, B, and C are independents. So,…

Q: how that if A1, A2, and A3 are independent events, then P(A1|A2 and A3)

A: Given that A1, A2, and A3 are independent events.

Q: Let A and B be events with P(A) = 7/15, P(B) = 10/15, and P((A U BỊ ) = 4/15 ?What is P(A N B)

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Q: Show that if B1, B2, and B3 are independent events then B1 and B2 U B3 are independent. Furthermore,…

A: Two events are said to be independent if the occurrence of one of them does not depend on that of…

Q: Let A and B be events with =P(A)= 0.2, P(B)=, 0.88, and P(B|A)=0.6.…

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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: If A and B are not mutually exclusive events and P(A) = 0.60 and P(B) = 0.80, then find P(AUB)

A: Given A and B are not mutually exclusive events And  P(A) = 0.60 and P(B) = 0.80

Q: Assume A and B are independent events, P(A)= 0.1, P(B)=0.3. Then P (AUB): 0.43 O Option 3 0.4

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Q: Let A, and A, be two events such that P[A] = 1/2. P[A2] = 3/5 and P[A2|A1] = 2/5 Then: %3D O PLA, n…

A: Solution: From the given information,

Q: 1- Events A and B are independent events and P[A|B] = 0.3. P[A] is %3D

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: If A, B and C are mutually exclusive and exhaustive events, find P(B) if P(A) = P(B).

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Q: Let A and B be events such that P(A) =1/8, P(A or B)=1/6 and P(A and B)=1/11. Determine P(B)

A: P(A) =1/8, P(A or B)=1/6,  P(A and B)=1/11.

Q: Let A and B be events so that p(B|A) = .8, p(B|Ã) = .4, and p(B) = .62. What is p(A)?

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Q: 6 Given P(A)=and P(B)= a. If P(AUB) = determine whether A and B are mutually exclusive or…

A: It is given that, P(A)=3/4 P(B)=2/3

Q: If A, B , and C are mutually exclusive events and P(A) = ; P(B) = - and P(C) = find %3D P(B' n C').

A: The events A, B, and C are mutually exclusive events.

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

A:

Q: If A, B, and C are three events, prove that P(ANBOC) >1– P(A)– P(B)– P(C)

A: There are three events A,B and C. So, From De Morgan's law, P(A ∪ B ∪C) = P(A∩B∩C)⇒P(A ∪ B ∪C) = 1 -…

Q: Let A and B be events with P(4) =0.3, P(B) =0.73, and P(B 4) = 0.9. Find P(A and B). P(4 and B) =

A: Given data:

Q: Prove: If A and B are events, then P(B) > P(A ∩ B)

A: Solution-: Given: A and B are events. We want to prove P(B)≥P(A∩B)

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: Show that if 4, and A, are two events, then P(A₂)+P(A₂)−1≤P(44₂).

A: First we will write Inclusion-exclusion principle for two sets.

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

A:

Q: Let  A and B be events with  P(A)=, 0.2 P(B)=, 0.9 and P(B|A)=0.5   Find  P(A and B)=

A: From the given information,P(A) = 0.2,P(B) = 0.9And P(B|A) = 0.5.

Q: Let A, B be events, with P(A) =.2, P(B) = .4, and P(A|B) = .25. Find P(A and B)

A: Given data, P(A) =.2 P(B) = .4  P(A|B) = .25 P(A and B)=?

Q: If A and B are any two events, then P(A U B) = P(A) + P(B) – P(A N B) anner

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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: Show that if A, and A, are two events, then P(A₂)+P(A₂)-1≤P(A₂A₂).

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Q: Let A and B be events of positive probability. Prove that P(A|B) > P(A) if and only if P(B|A) > P(B)

A: Let , A and B be the two events. We have , P(A)&gt;0 and P(B)&gt;0 i.e. both have positive…

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: 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 and B are independent events with P(A) = 0.2 and P(B) = 0.6, then P(A U B) = 0.80 0.12 0.72…

A: Solution

Q: Let A, B, be two independent events such that P(A) = P(B) = 0.3 then P(A UBC) =

A: Given that PA=PB=0.3 A and B are independent events. Hence, P(A and B)=P(A)*P(B)=0.3*0.3=0.09

Q: If A and B are two independent events where P(A) = 0.2 and P(B) = 0.3 , then P(AN B) = %3D O 0.2 0.5…

A:

Q: Suppose A, B, and C are events so that P ( A ) = 0.2 , P ( B ) = 0.5 , P ( C ) = 0.3 , P ( A ∩ B )…

A: Suppose A, B, and C are events, So that P ( A ) = 0.2 , P ( B ) = 0.5 , P ( C ) = 0.3 , P ( A ∩ B )…

Q: If P(E) = 0.2, P(F) = 0.3, and E and F are independent events, find P(E and F). 1) 0.06 2) 0.08 3)…

A: Given : p ( E ) = 0.2 p ( F) = 0.3

Q: If B1, B2, another event associated with (or caused by) B;, B, be a set of exhaustive and mutually…

A:

Q: Let A, B and C be independent events with P(A)= 0.4, P(B)= 0.7 and P(C)= 0.6. Find P(A and B and C).

A: it is given that A, B and C be independent events with P(A)= 0.4, P(B)= 0.7 and P(C)= 0.6. As we…

Q: If B = A,UA,UA, UA,U.A, are mutually exclusive events, then P(B ) = Select one: O NONE P(A,)x…

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Q: In tossing a fair coin twice, let the events A and B be defined as A: getting head on the first…

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Q: 1. Suppose that the events A, B are independent. (a) Using the Law of Total Probability, show that…

A: Result: If A and B are independent then P(A and B)=P(A)P(B)

Q: IJ A and B are independent events, prove that the events A and B, A and B; and A and B are also…

A: Answer: For the given data,

Q: If P(A)= 0.6, P(B) = 0.5, P(AUB) =0.9, then A and B are mutually exclusive events. Select one: OTrue…

A: Given P(A)=0.6P(B)=0.5P(AUB)=0.9

Q: Let A and B be events with P(A) = 0.5, P(B)=0.95, and P(B|A) = 0.1. Find P (A and B). P(A and B) =

A: Given that, P(A) = 0.5P(B) = 0.95P(B|A) = 0.1