If event A is a subset of event B, then P(AN B )is
Q: prove that if an event A is independent, then its probability is either 0 or 1
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Q: (a) Prove that for events A and B, if P(B|A) > P(B) then P(A|B) > P(A).
A: As per our guidelines, we are allowed to answer first question only. Thanks Given Events A and B…
Q: A and B are events with P(A)=0.3, P(A OR B)=0.89, and P(A AND B)=0.01, find P(B).
A: Given that ; If A and B are events with P(A)=0.3, P(A OR B)=0.89, P(A AND B)=0.01, find P(B) By…
Q: Given P(A) = 0.152, P(B) = 0.076, and P(C) = 0.198, and that events A, B, and C are mutually…
A: We have given that P(A) = 0.152, P(B) = 0.076, and P(C) = 0.198, A , B ,and C are mutually…
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: Use Venn diagrams to verify that(a) (A ∪ B)∪ C is the same event as A ∪(B ∪ C);(b) A ∩(B ∪ C) is the…
A: Consider event (i.) as (A ∪ B)∪ C and event (ii.) as A ∪(B ∪ C)
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: If A and B are independent events with P(A) = 0.5 and P(B) = 0.5, then P(A ∩ B) is Question 9…
A: GivenA and B are independent events P(A)=0.5P(B)=0.5
Q: Given P(A) = 0.47, P(B) = 0.41, and P(A or B) = 0.88, are events A and B mutually exclusive?…
A: Events A and B are mutually exclusive when Hence, Event A and B are mutually exclusive.
Q: Given P(A) = 0.37, P(B) = 0.53, P(C) = 0.60 and that events A, B, and C are independent, what is…
A: We have to find probability for independent event.
Q: Question # 2 Let A and B be independent events. Show that A-Ω\ A and Bc-Ω\B are independent. Also…
A: Independent events:Two or more events are said to be independent if occurrence of one event does not…
Q: Let A and B be events with P(A) = 0.8, P (B) = 0.4, and P (B|A) = 0.2. Fins P(A and B).
A: There are two events A and B given with probabilities such as PA=0.8, PB=0.4, and PB|A=0.2.
Q: If A and B are independent event then O a. P(A and B) = P(A) - P(B) %3D O b. P( A and B) = P(A) %3D…
A: Given : A and B are independent event then Correct option is C
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: Given P(A) = 0.31, P(B) = 0.98, P(C) = 0.97 and that events A, B, and C are independent, what is…
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Q: If A and B are mutually exclusive events then, O A. P(A&B) = 0, O B. P(A) = 0, O C. P(B) =0, D.…
A: If two events, A and B are mutually exclusive then, P(A U B) = P(A) + P(B)-P(A n B) Since A and B…
Q: Given P(A) = 0.62, P(B) = 0.78, P(C) = 0.61 and that events A, B, and C are independent, what is…
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Q: If event B is a subset of event A, then P(A/B) is اختر احدى الدجابات 0 1 P(ANB)/P(A) P(B)/P(A) None
A: Result If B⊂A then P(B⋂A)=P(B)
Q: If A and B are mutually exclusive events then, O a. P(A) = 0, O b. P(B) = 0, O c. P(AUB) =0 O d.…
A: Two events A and B are said to be mutually exclusive when there are no common elements for both the…
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: Suppose events A and B are NOT disjoint, and that P(A) = 0.3 and P(B) = 0.15. What is P(A or B)? 2.…
A: Disjoint events: Let A and B be any two events, if the events A and B are mutually exclusive or…
Q: Given P(A) = 0.092, P(B) = 0.011, and P(C) = 0.085, and that events A, B, and C are mutually…
A: P(A) = 0.092, P(B) = 0.011, and P(C) = 0.085 Events A, B, and C are mutually exclusive
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: 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: QUESTION 1 If A and B are independent events with P(A) = 0.65 and P(An B) = 0.26, then compute P(B)…
A: Given that If the A and B are independent events with P(A) = 0.65 and P(A n B) = 0.26 Then find…
Q: given p(a)=0.23, P(B)=0.05, P(C)=0.65 and that events A,B and C are independent, What is P(A,B, and…
A: given p(a)=0.23, P(B)=0.05, P(C)=0.65 and that events A,B and C are independent, What is P(A,B, and…
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: Given P(A) = 0.141, P(B) = 0.130, and P(C) = 0.057, and that events A, B, and C are mutually…
A: P(A) = 0.141 P(B) = 0.130 P(C) = 0.057 Events A, B, and C are mutually exclusive i.e.…
Q: we have 100 students in the Institute of Computing, Kohat University of Science and Technology. Out…
A: Probability is defined as the sum of favorable ways of an events divided by the total number of…
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: 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: Given P(A) = 0.82, P(B) = 0.52, P(C) = 0.79 and that events A, B, and C are independent, what is…
A: Obtain the probability that the three events A, B and C are independent events. The probability that…
Q: If two events, Event A with probability P(A) and Event B with probability P(B) are independent, then…
A: Given that two events, Event A with probability P(A) and Event B with probability P(B) are…
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: Let A and B be events with P(A)= and P(AUB) = find o P(A\B) ナ O P(AAB),a P(A\B°)
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Q: Given P(A) = 0.78, P(B) = 0.49, P(C) = 0.45 and that events A, B, and C are independent, what is…
A: Given, P(A) = 0.78 P(B) = 0.49 P(C) = 0.45 that events A, B, and C are independent. To find,…
Q: If A and B are independant events with P(A) = 0.295, P(B) = 0.32, then P(A | B) =
A: It is given that A and B are independent. P(A) = 0.295, P(B) = 0.32
Q: Given P(A) = 0.88, P(B) = 0.97, P(C) = 0.90 and that events A, B, and C are independent, what is…
A: Solution: From the given information, P(A)=0.88, P(B)=0.97 and P(C)=0.90. Here, the events A, B and…
Q: If E and F are two disjoint events in S with P(E) = 0.23 and P(F) = 0.6, find P(E ∪ F), P(EC), P(E ∩…
A: From the question, it is given that E and F are two disjoint events in S that is both events are…
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 B1, B2, another event associated with (or caused by) B;, B, be a set of exhaustive and mutually…
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Q: Question 3 If outcome of event A and outcome of event B can are not accured at the same time, then…
A: Here a and b are not accured at the same time. So p(a and b) = zero
Q: If A is an arbitrary event, then show that P(A) = 1- P(A).
A: Answer: For the given data,
Q: Let A and B be events with P(A) = 0.7, P(B) = 0.3, and P(B|A) = 0.2. Find P(A and B).
A: If A and B are independent then P(A and B)= P(A n B) = P(A)*P(B) If A and B are not independent then…
Q: If A, B, C, and D are independent events. Prove that A U B and C – D are independent.
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Q: Given P(A and B) = 0.30, P(A) = 0.93, and P(B) = 0.32 are events A and B independent or dependent?…
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Q: Given P(A) = 0.34, P(B) = 0.60, P(C) = 0.21 and that events A, B, and C are independent, what is…
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Q: 1. If P(A|B) = 0.5 and P(B) = 0.5, then the events A and B are independent. * %3D true false
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