We flip fair a coin twice. Consider the events A={HH, HT, TH} and B={HT, TT}. Then A and B are   disjoint and also independent   not disjoint and also independent   disjoint and also non-independent   not disjoint and also non-independent An experiment can result in one of the four equally likely simple events, E1, E2, E3, E4. The Events A and B are defined as follows, A:{E1,E2} P(A) = 0.5 B:{E1, E2, E4} P(B)=0.75. Then   P(A∪B) = 1   P(A∩B) = 0.375   P(A|B) = 2/3    P(B|A) = 2/3

Q: Consider two random events A and B. Event Ac is the complement of event A, and Bc is the complement…

A: Determine the required probability using the conditional probability formula P(A∣B)=P(B)P(A and B)​.…

Q: Q. 3 If A and B are two events associated with an experiment and P(A) = P(AUB) = and P(AN B) = Find…

A:

Q: For each experiment, determine whether events A and B are independent or dependent.…

A: The objective of the question is to determine whether the events A and B in each experiment are…

Q: We have the following data: P(A) = 0.46, P(A union B) = 0.72. If A and B are mutually exclusive…

A: Answer: From the given data, P(A) = 0.46 P(A∪B) = 0.72 A and B are mutually exclusive events

Q: If A and B are events with P(A)=0.4, P(A OR B)=0.96, and P(A AND B)=0.14, find P(B). Enter your…

A: P(A)=0.4P(A or B)=0.96P(A and B)=0.14

Q: If A, B, and C are pairwise disjoint, it is possible for P(A) = 0.3, P(B) =0.4, and P(C) = 0.5…

A: two sets are said to be disjoint sets if they have no element in common.

Q: Consider two events with P(B)= .4 and P(A or B)= .9 and P(A and B)= .2  Find P(notA).

A: GivenP(B)=0.4P(A∪B)=0.9P(A∩B)=0.2

Q: Suppose A and B are two disjoint events. Further, P(A) = 0.49, and P(B) = 0.51. The P(A|B) = 0.51 0…

A: The objective of the question is to find the conditional probability of event A given that event B…

Q: at random events A and Bare independent, A and C are independent, and BC = 6. %3D P(B) =,P(AC |…

A: Given that

Q: If A and B are events with P(A)=0.6, P(A OR B)=0.98, P(A AND B)=0.02, find P(B).

A:

Q: In two different universities, eagle behavior is studied, and for this purpose eagles are captured.…

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Q: Suppose A and B are events with P(A) = 0.25, P(B) = 0.64, and P(AUB) = 0.73. Then A and B…

A: Independent events : Let A and B be two events then the events are said to be independent if the…

Q: Suppose that E and F are two events and that P(E and F) = 0.1 and P(E)= 0.4. What is P(FIE)?

A: Solution-: Given: P(E and F)=0.1, P(E)=0.4 We want to find P(F|E)=?

Q: A,B and c are events: P(A)=.35, P(B)=.45, P(C)=.55. Which of these events, if any could be…

A: The probability of event A (say) and the probability of its compliment is equal to 1.

Q: If two or more events have the property that at least one of them must occur when the experiment is…

A: Exhaustive events:Two or more events are said to be exhaustive if there is a certain chance of…

Q: Given that A and B are two mutually exclusive events, find  P(A or B) for the following. P(A) =…

A:

Q: Suppose a man reaches into a bag containing 14 green marbles, 28 red marbles, 13 blue marbles, 34…

A: Suppose a man reaches into a bag containing 14 green marbles, 28 red marbles, 13 blue marbles, 34…

Q: Q. 2 If A and B are two events associated with an experiment and P(A) = p. Find the choice of p for…

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Q: For each experiment, determine whether events A and B are independent or dependent.…

A: The objective of the question is to determine whether the events A and B are independent or…

Q: Suppose two events, A and B, are defined where P(A)=P(B)=.4 and P(AorB)=.65. What is P(AandB)

A: Given : P(A)=P(B)=.4 and P(AorB)=.65

Q: If P(A) = 0.30, P(B) = 0.20, P(A and B) = 0.09, what can be said about events A and B? Events A & B…

A: It is given that, P(A) = 0.30, P(B) = 0.20 and P(A and B) = 0.09.

Q: 0.13, find P(B). If A and B are events with P(A) = 0.7, P(A OR B) =0.77, and P(A AND B) %3D %3D

A: Given information: Two events A and B. The probability of occurrence of event A, P(A)=0.7. The…

Q: If A and B are two events such that P (A or B) =2/3 , P(A N BC )=1/3 and P(A/B)= 1/6. Find P(AC or…

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Q: If two events are independent with P(A) = 0.6 and P (B ) = 0.35 Is A and B are complementary events…

A: Given: P(A)=0.6 P(B)=0.35

Q: Suppose A and B are two events. If P(A)=0.5, P(B)=0.4, and P(AUB)=D0.8. Then find the P(ANB)? O A.…

A: Given:

Q: Suppose that A and B are two events for which P(A)=0.17, P(B)=0.71, and P(B|A)=0.39 Find each of the…

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Q: About 9% of the population of a large country is hopelessly romantic. If 2 people are randomly…

A: Given that  p = 9% = 0.09 , q = 1 - p = 1 - 0.09 = 0.91 , n = 2  X ~ Binomial (n = 2 , p = 0.09) X =…

Q: Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)​?

A: Given data,  P(E)=0.8  P(F|E)=0.5 P(E and F)​=?

Q: t A and B be two disjoint events such that P(A)=.18 and P(B)=.42 what is P(A or B)

A: given data , disjoint events, p(A)=0.18p(B)=0.42p(A or B)=?

Q: H. Suppose that P ( A̅ ∩ B) = 0.3, P ( A̅ ∩ B̅) = 0.15, and P(A|B) = 0.5. Find P(A), P(A ∩B ).…

A: As per our guidelines we are suppose to answer only one question. P(A¯∩B)=0.3P(A¯∩B¯)=0.15P(A|…

Q: 2. A group of 5 friends each scheduled with second dose of a Covid vaccine for a day in July. If…

A: First, we find the probability of each of the 5 individuals selecting a different day of the month…

Q: Let A and B be two events with P(A) = 0.13, P(B) = 0.04 and P(AUB) = 0.1323. %3D %3D Then, A and B…

A: If Two events are Disjoint their intersection will be zero. If two events is independent their…

Q: Suppose we have a data which includes only two possible events; A and B. If the Events A and B are…

A: A data includes two possible events A and B.