6. Consider en experiment and two events A and B and their complements. The probability of the union of events A and B is precisely 3/4. Moreover, some other probabilities are summarized as follows: A B Bc 3/8 Ac 1/8] (a) Describe the following event in terms of a union or intersection and find their prob- abilities: (i) A is observed and B is not observed. (ii) A is not observed or B is observed. (iii) B is not observed. (b) Assume that event B is observed. What is the probability that A is observed? What is the probability that A is observed assuming Bº is observed? (c) Are A and B independent?

Q: In a second-grade class containing 13 girls and 9 boys, 2 students are selected at random to give…

A: According to the given information, we have Number of girls = 13 Number of boys = 9 Total number of…

Q: The probability that an American industry will locate in Shanghai, China, is 0.7, the probability…

A: Given, Let us consider, A be the event of American industry locate in Shanghai, China B be the event…

Q: Q2. If a die is rolled one time, find these probabilities (a) Getting a 3 (b) Getting a number…

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Q: 7. Suppose that an experiment leads to events A, B, and C with the following probabilities: P(A) =…

A:

Q: If two events, A and B, are such that P(A) = 1/6, P(B) = 1/9, and P(An B) = 1/70, find the following…

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Q: The probability of two events A and B are 0.25 and 0.5 respectively. Probability of ther…

A: Introduction :

Q: If A and B are two mutually exclusive events with P(A) = 0.6 and P(B) = 0.3, find the following…

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Q: A and B are two independent events. The probability that both occur simultaneously is 1/6 and the…

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Q: How is the probability of a combination (HH, HT, or TT) related to probabilities of its components…

A: Given: A combination of two coin tosses (HH, HT, or TT). In a coin toss, the possible outcomes are:…

Q: A pair of dice is loaded. The probability that a 4 appears on the first die is 2/7, and the…

A: Given The probability that a 4 appears on the first die is 2/7, and the probability that a 3 appears…

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 a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probabilitythat three…

A: Given: 8 freshmen 5 sophomores 4 juniors 2 seniors Total = 8+5+4+2=19

Q: 1.Three snipers were practicing hitting a target. Their individual probabilities to hit a target are…

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Q: if a and b are independent events with P9A)=0.4 and P(B)=0.5, then P(A or B)=?

A: If a and b are independent events, thenPA and B=PA∩B=PA.PB=0.4×0.5=0.2

Q: On a typical January day in Manhattan the probability of snow is 0.10, the probability ofa traffic…

A: Given that: The probability of snow is: P(S)=0.10 The probability of a traffic jam is: P(T)=0.80 The…

Q: 25. In a small countryside, there is a doctor and a nurse. The probabilities that the doctor and the…

A: We have given that  The probabilities that the doctor and the nurse are available in the countryside…

Q: 5. Consider two events C and D with P(C) = 0.52 and P(D) = 0.45. If C and D are independent, then…

A: Given that: PC=0.52PD=0.45

Q: Suppose A and B are independent events with P(A)= 0.4 and P(B) = 0.3. Find the following…

A: Given data A and B are independent events P(A) = 0.4 P(B) = 0.3 P(A and B) = P(A) x P(B) = 0.4 x…

Q: Suppose P(A) = 0.2 and P(B) = 0.35, and P(A or B) = 0.48, for two events A and B. What is the…

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Q: Assume the following probabilities for two events, A and B: P(A) = 0.50, P(B) = 0.70, P(AUB) = 0.85…

A: Answer: - Given Two events A and B:                 P(A) = 0.50, P(B) = 0.70, and P(A∪B) = 0.85…

Q: Suppose A and B are two events with probabilities: P(A) = .50, P(B) = .40, P(A N B) = .25. a) What…

A: Given P(A)=0.5P(B)=0.4P(A∩B)=0.25 Formula of conditional probability A given B is:P(A/B)=P(A∩B)P(B)…

Q: 2. There are two multiple-choice questions on a quiz, one with four answer choices and one with six…

A: Step 1: Define the events.E1 = choosing the correct option for the first question.E2 = choosing the…

Q: ) What is the probability they got bit by a mosquito or a deer fly (or both)? ) What is the…

A: The events are M : bitten by mosquito D : bitten by a deer fly Given that P(M) = 0.65, P(D) = 0.26,…

Q: TRUE/FALSE 1.When events A and B are independent, then P(A and B) = P(A) + P(B).

A: We have given that When events A and B are independent, then P(A and B) = P(A) + P(B). Note:…

Q: 3. The probability that Jaden's dog will wear a collar today is 0.55. The probability that Jaden…

A: Step 1:Two events are independent if and only if :P(A∩B)=P(A)×P(B)Given that :let's :A is the event…

Q: Suppose A and B are two events with probabilities: P(A*) = .25, P(B) = .35, P(A N B) = .30. a) What…

A: Given, P(Ac) = 0.25 => P(A) = 1 - P(Ac)  = 1 - 0.25 = 0.75 P(B) = 0.35 P(A ∩ B) = 0.30

Q: Suppose A and B are two events with probabilities: P(A) = 45, P(B) = .55, P(AN B) = .15. a) What is…

A: Given Data: P(A)=0.45  P(B)=0.55P(A∩B)=0.15

Q: One student is selected at random from a group of 200 known to consist of 140 full-time (80 female…

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Q: According to Mendel’s theory, if tall and colorful plants are crossed with short and colorless…

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Q: What is the known probability when two events will both occur, such that the probabilities of the…

A: Here we have given the questions, First one is, What is the known probability when two events will…

Q: A bag contains six red balls, four blue balls and two yellow balls. If two balls are drawn at random…

A: Probability

Q: If A and B are mutually exclusive events with P(A)= 0.28 and P(B) = 0.36 Calculate P(A or B)?

A: Answer: From the given data, A and B are mutually exclusive events  P(A) = 0.28 P(B) = 0.36

Q: Assume that two events A and B are mutually exclusive. P(A) =.75, P(B) = .25 What is P(AnB)? What is…

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Q: If two events are mutually exclusive why is P(A and B)=0?

A: Mutually exclusive is a statistical term describing two or more events that cannot happen…