We have two events, A and B. P(A) = 1/2 and P(B) = 1/3. Hint: Draw Venn diagrams to help you think about the following possibilities: 1) if A and B are mutually exclusive, 2) if all the outcomes in B are also in A, 3) if there’s partial but not complete overlap between events in A and events in B. (a) What is the smallest P(A and B) can be? _________ (b) What is the largest P(A and B) can be? _________ (c) What is the smallest P(A or B) can be? _________ (d) What is the largest P(A or B) can be? _________

Q: Two events A and B are such that P(A) =0.25, P(B) = 0.4 , and P(AUB)3D0.5. Draw a Venn diagram to…

A: From the given information, PA=0.25PB=0.4PA∪B=0.5 The required Venn diagram is shown below:

Q: If A denotes some event, what does A denote? If P(A) = 0.004, what is the value of P(A)? What does A…

A: Given,  P(A) = 0.004

Q: 10. Suppose a student is selected at random from a large college population. a. Label each pair of…

A: Correct option is B. EXPLANATION : Mutually exclusive events : Two events are said to be mutually…

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Q: If A denotes some event, what does A denote? If P(A) = 0.004, what is the value of P(A)? .... What…

A:

Q: 1. The following table shows the parents jobs. Study the table and answer the following: Male Female…

A: Construct a new table substituting the values for R and Z.   Male Female Engineer 21 28…

Q: of the others. 5) We throw a fair six-sided die 7 times. The sides of the die are 1,2,3,4,5 and 6.…

A: We throw a fair six-sided die 7 times. The sides of the die are 1,2,3,4,5 and 6.

Q: Consider two events A and B. Suppose P (A ∪ B) = 0.7 and P (A ∪ B′) = 0.9. Find P (A) (a Venn…

A: The given data for events A and B is(A  B) = 0.7 and P (A  B′) = 0.9

Q: Justin Myway has a limousine, a sports car, and a motorcycle for travelling from his condominium te…

A: The sample space is the set of all the possible outcomes. The probability of an event is computed by…

Q: ] I have two identical bags of M&Ms with 10 reds, 12 blues, 8 browns, 9 greens and 11 oranges. If I…

A: Hii ! Thanks for posting the question . Since your question has many subparts , we have solved first…

Q: . If P(A n B) = P(A U B) = and P(A) =;, then A A and B are independent events B A and B are mutually…

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Q: The probability for him to pass an audition is 0.9. Recently he’s got two auditions. One is a film…

A: Hi, you have posted the multiple question. So, as per the guidelines i am providing you the solution…

Q: 2) Suppose A and B are events such that P(A) = 0.6, P(B) = 0.7 and P(A or B) = 0.8. Calculate the…

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

Q: 21. There are 2 coffee machines at the Café. Probability that machine1 fails is 0.3. Probability…

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Q: 4. Suppose an individual is randomly selected from the population of all adult males living in the…

A: Introduction: It is required to compare the probabilities, P (A | B) and P (B | A)  in the given…

Q: owing questions. What is the probability P₁ that there ide lengths √a, √b, √c?

A: Given: There are 3 dots on side of dice are a,b,c. Ω=1,1,1,1,1,2,....,6,6,6 It denotes the dice's…

Q: 20. Nine cards are drawn at random from a set of cards. Each card is marked with the numbers 1, 0 or…

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Q: .Suppose you are given the following information on eventsA,B, andD: P(A) = 0:4P(A[D) = 0:6P(AC) =…

A: Given: P(A)=0.4. P(B)=0.2. The objective is to identify whether events A and B are mutually…

Q: Q13. Suppose that 3 fair 6-sided dice are rolled independently, each for once. Compute the…

A: It is given that 3 fair 6-sided dice are rolled independently, each for once.

Q: What is the probability of selecting a public school if you choose one school at random from the…

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Q: For two events, A and B, we have P(A) = 0.8, P(B) = 0.7, and P(AUB) = 0.9. Then, the value for P(BA)…

A: Given that  P(A) = 0.8, P(B) = 0.7, and P(A U B) = 0.9.

Q: 6 Given P(A)=and P(B)= a. If P(AUB) = determine whether A and B are mutually exclusive or…

A: It is given that, P(A)=3/4 P(B)=2/3

Q: ts, A, B, are independent if and only if at least one of the following holds: i) P(A|B) = P(A) or…

A: (e) is correct. It is given that "two events A,B are independent if and only if at least one of the…

Q: 13 13 2. (222) = 2 · (¹12) ² 2 4 Problem 3. Two events A and B are such that P(A) = 0.4, P(B) = 0.3,…

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Q: 0. Let A and B be independent events such that P(A) = p, P(B) = 2p. The largest value of p, for…

A: For independent events, the probability of both event occurring is just equal to the product of the…

Q: a) Let the event E be the sum of a pair of dice that is greater than 11. List the events in EC. b)…

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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: 23. Let A and B be events of a sample space of an experiment, if P(QE =P(BIB) then value of P(Q|B)…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: Given that A and B are two mutually exclusive events, find P(A ) if P(B) = 0.27 and (A or B) =…

A: given data  A and B are  mutually exclusive events P(B) = 0.27 P(A or B ) = 0.635 P(A) = ?

Q: Question 1. Suppose A and B are events with P(A) = ½, P(B) and 113 P(A or B) = a) Are A and B…

A: Given that  P(A) = 1/3 , P(B) = 1/4 , P(A or B) = 1/2

Q: Let A and B are two events, not mutually exclusive. Suppose that P(A) =0.40, P(B)=0.32 and P(A or…

A: It is given that the We have two events A and B with information like P(A) = 0.40, P(B) = 0.32 and…

Q: Suppose you're rolling two fair dice, and flipping two fair coins, arrange the following outcomes…

A: Here , two coins are flipping and two dice are rolling. Hence the sample space for rolling two dice…

Q: a) What is the smallest P(A or B) can be? _________   (b) What is the largest P(A or B) can be?…

A: Given: P(A)=1/2 P(B)=1/3

Q: Given two events, A and B, with P(A) = 4 and P(B)- .35, find P(An B) if you also know that.. (a) A…

A: Two events are said to mutually exclusive when they cannot occur simultaneously where as they are…

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: (D) If a variable has a Binomial distribution, then the number of possible outcomes is always two.…

A: We have given that two statement one is related to Binomial distribution and other is related to…