J A and B are independent events, prove that the events A and B,A and B; and A and B are also independent.

Q: Let A and B be two events such that P(A|B)=P(A|BC), where BC is the complement of B), and 0 < P(B) <…

A: We use the conditional probability formula to prove that A and B are independent.…

Q: Which of the following is a false statement?

A: Dependent events are those , first events probability affect the probability of other event in…

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: 1. Let A and B be independent events such that P(A), P(B) > 0. Is it possible that A and B are…

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Q: Determine whether E and F are mutually exclusive, if E is the event "being a plumber", and F is the…

A: Mutually exclusive means when two events can not occur at the same time.

Q: Suppose that  A  and  B  are independent events such that  =PA0.10  and  =PB0.70 . Find  P∩AB  and…

A: From the provided information,P (A) = 0.10P (B) = 0.70The events A and B are independent.

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: Let A and B be independent events with P(A) = P(An B) = P(AUB) = 1 ·|6 1 and P(B) = Find P(An B) and…

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Q: Show that if A and B, (n = 1,2,3, . -) are events, then An (U Bn) = U (AN Bm)

A:

Q: a) Are events F and H disjoint? Explain. |

A: Two events A and B are said to be disjoint if P(A and B) = 0

Q: Let A and B be events such that P(A)=1/4, P(A or B)=1/3, and P(A and B)=1/5. DetermineP(B)

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Q: 1. True or False. (A) If events A and B are independent, then they are also mutually exclusive (B)…

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Q: If two events A and B have the same (non-zero) probability... Group of answer choices the two…

A: The given information is:The given statement is:"Two events and have the same (non-zero)…

Q: Which of the following are true statements? (Check all that apply) If events A and B are mutually…

A: we have to find true statement for given statements about mutually exclusive and complement events.

Q: (a) A and Bc; (b) Ac and B; (c) Ac and Bc.

A: Given that,Events A and B are independent events.It can be written as,

Q: Let us have events/sets A and B such that P(A)=0.4 and P(B)=0.3. Is it possible for  A and B be…

A: Mutually exclusive or disjoint events are events in probability theory that cannot occur…

Q: {1,2,3,4,5,6} 2. Let P(A)=0.3, P(B) = 0.9 and P(ANB) = 0.36, then the events A, B are A. Independent…

A: Step 1: It is given that, P(A) = 0.3, P(B) = 0.9 and P(A ∩ B) = 0.36.  Step 2: Two events A and B…

Q: If A and B are independent events, then ... None of the above OP(AUB)=P(A)×P(B) OP(A U B) = 1OP(An…

A: If events A and B are independent, it means that the occurrence or non-occurrence of one event does…

Q: 1. Two events are independent if

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