Example 2.3.16 Assuming that A and B are two equally strong table tennis players, which of the following events is more probable: i) A beats B in exactly 3 out of 4 games (ii) A beats B in exactly 5 out of 8 games

Q: A and B are two events such that P(A)-0.5 and P(B)-0.6 and P (AIB) = - then P (AIB) = 0.9 1 0.6 not…

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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: Two events, A and B, are said to be independent if: a. Р(BA) 3D Р(А) b. РАВ) — Р(В) c. P(An B) = PA)…

A: Condition for independence: If A and B are two events, then P(A and B)=P(A)*P(B). Consider option a)…

Q: 5. A and B are two events such that P(B) = P(An B) =and P(B|A) = Find a) P(A) b) P(A|B) c) P(A|B)

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Q: Given that P(A) = 0.7, P (A/B) = 0.7, P(A∩B) notation same as P (A and B) = 0.42, find  the…

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

Q: 4a) It is known that P(AB)-0.45, P(B)-0.90 and the events A and B are independent. Find P(A). 0.405…

A: P(A and b ) = 0.45 P(B) = 0.90 P(A) =? Independent events

Q: Consider two events, A and B, such that P(A) = 0.6, P(B) = 0.7 and P(A intersection B) = 0.4. What…

A: There are two events A and B, and their probabilities are shown below;.

Q: In how many different order could the police department arrange six suspects in a police lineup if…

A: In this question we will use basic of permutations and combinations and concept of probability and…

Q: The two events A and B are such that P(A)=0.6, P(B)=0.2, p(A|B)= 0.1. Calculate the probabilities…

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Q: A1,A2, and A3 are mutually exclusive and exhaustive events such that P(A1) = 0.2,P(A2) = 0.5, and…

A: a)The required probability is calculated as follows.

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).

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Q: A family has three children, eacher of whom is a boy or a girl with probability 1/2. Let A = "there…

A: (a). Ans :- A and B are independent. Explanation :- Given that,  The family has 3 childrens. i.e…

Q: 2. If P(A) = 1/2 ,P(B) = 3/4 and P(ANB) = 3/8 ,check whether A and B are independent. %3! %3D

A: Note: Please repost remaining questions as i can author only 1 question as per my policy.   2) Given…

Q: If A, B are two events, where P(A)= 0.4, P(B)= 0.55, P(A U B) = 0.85, then P(AN B): %3D a. 0.1 O b.…

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Q: The box contains b white, c black and p blue balls. Balls are randomly drawn from the box without…

A: b=white ballC=black ball p =blue ball

Q: Define A, P(A) = 0.30, P(B) = 0.20, P(C) = 0.90 P(ANB) = 0.06, P(ANC) = 0.27, P(BOC) = 0.18,…

A: Given that  P(A) = 0.30, P(B) = 0.20, P(C) = 0.90 P(A n B) = 0.06, P(A n C) = 0.27, P(B n C) = 0.18,…

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: QUESTION 1 If two events A and 8 are mutually exclusive then: O a. P(AJ + P(B) = 1 O b.A and 8 are…

A: 1. We know if, A and B events are mutually exclusive then, P(A U B) = P(A)+P(B) Now, we know, P(A U…

Q: If P (A) = 0.8, P (B) = 0.5, and P (A∪B) = 0.9, are A and B independent events? Why or why not?

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Q: Two events, A and B, are such that P(A∪B) = 0.86, P(B) = 0.72 and P(A) = 0.64. Determine (i) P…

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Q: a) Show that for any three events A, B, and C, the probability that at least one of them occurs is…

A: Given  We need to prove that for three events A,B and C,the probability that atleast one of them…

Q: Suppose that A and B are events for which Р(A| B) — 0.8, Р(В A) — 0.15, and Р(A) — 0.2. P(B) =

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Q: a. Al Numa Automobile stocks three brands of battery: brand A; brand B and brand C. 45% are Brand A,…

A: It is a very important fact in statistics . It is used in probability .

Q: Given P(A and B) = 0.43, P(A) = 0.81, and P(B) = 0.25 are events A and B independent or dependent?…

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Q: Consider two events following receiving a bachelor’s degree from a prestigious university: A =…

A: GivenA=being accepted inti a graduate programP(A)=0.7B=receiving a job offerP(B)=0.7P(A|B)=0.9

Q: Suppose E and F are two possible events that are independent of one another. Would it be true that…

A: GIVEN DATA : E and F events are independent of one another.     TO SHOW : The complements of E &…

Q: Two team (A and B) play a series of baseball games. The team who wins three games of…

A: Given for team A, The probability of winning in home field is 0.7, then the probability of losing in…

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: Suppose that A and B are two independent events for which P(A)=0.32 and P(B)=0.7. Find each of the…

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Q: Define A, B, and C to be three events and assume that: P(A) = 0.30, P(B) = 0.20, P(C) = 0.90 P(ANB)…

A: Given that P(A)=0.30, P(B)=0.20, P(C)=0.90

Q: A. 3 А. 4 3 В. 39 С. 64 9 D.

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

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Q: Suppose that A and B are two independent events for which P(A)=0.23 and P(B)=0.65. Find each of the…

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Q: Two events A and B are said to be independent if P(A|B) = P(B).  True  False

A: Here use basic of independent event

Q: Find the probability that a randomly chosen student received an A in general chemistry or calculus.

A: In a recent semester at a local university, 530 students enrolled in both General Chemistry and…