ΕΧΑMPLE 7: Which of the following statements are true? Select all that apply. O Events A and B are independent on each other O Events A and B are dependent on each other O P(A and B) = P(A) · P(B), the probability that Tomas selects a blue garment that is a shirt is equal to the probability that Tomas selects a blue garment multiplied by the probability that he selects a shirt.

Q: Assume that A, B and C are three independent events such that P (A) = 0.2, P (B) = 0.5 and P (C) =…

A: Given: PA=0.2PB=0.5PC=0.1 A, B and C are independent events.  Since they are independent events,…

Q: Mary and Susan are each to play a tennis match. Let the probability that Mary wins her match be 0.65…

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Q: Q5A A box contains 68 red balls, 80 white balls, and 55 blue balls. (a) If one ball is drawn from…

A: The objective of the question is to find the probability of certain events when balls are drawn from…

Q: #2 A bowl contains 3 yellow beads, 21 green beads, 12 blue beads, and 6 red beads. if 1 bead is…

A: GivenNo.of yellow beads=3No.of green beads=21No.of blue beads=12No.of red beads=6Total no.of…

Q: Which of the following is more likely to occur? Probability of fishing in the sea is 0.45.…

A: as we know    event is less likely if probability is near to 0  and event is more likely if…

Q: Q5A A box contains 68 red balls, 80 white balls, and 55 blue balls. (a) If one ball is drawn from…

A: The objective of the question is to find the probability of certain events when balls are drawn from…

Q: A student goes to the library. Let events B = the student checks out a book and D = the student…

A: Let define the events: B = the student checks out a book   D = the student check out a DVD The known…

Q: smoke detector system uses two devices, A and B. Suppose the probability that it will be detected by…

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Q: An MBA applies for one job in two firms X and Y. The probability of his being selected in firm X is…

A:

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

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Q: A large chain retailer purchases a certain kind of electronic device from a manufacturer. The…

A: Hey there! You have posted multiple questions. As per our policy we can answer only 1 ques at a…

Q: A student goes to the library. Let B = the student checks out a book and D = the student checks out…

A: Given:P(B) =0.74, P(D) =0.38 and P(B|D) = 0.74.

Q: Don has 4 black pens, 3 blue pens, and 2 red pens in his school bag. Don randomly picks two pens out…

A: The following information has been provided: The number of black pens = 4 The number of blue pens  =…

Q: iree throw. (That is, a second throw O points? 1 point? 2 points? Assume that the two throws are…

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Q: Find the probability that the home has exactly 1 (a fireplace exclusive or a garage). Find the…

A: d. Suppose event F denotes that homes have a fireplace and event G defines that homes have a garage.

Q: #4 A bowl contains 5 red beads, 6 blue beads, and 3 violet beads. If 3 beads are picked at random,…

A: GivenNo.of red beads=5No.of blue beads=6No.of violet beads=3Total no.of beads=14

Q: There is a survey having only 2 options(yes/no).The survey has 7 questions and the person answering…

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Q: The probability that a student taking math course, given that the student is on the honor roll is…

A: The Probability that a student taking math course, given that the student is on the honor roll is…

Q: Complete the following statement. P(A or B) indicates Choose the correct answer below. O A. the…

A: Answer - Complete the statement            P(A or B) indicates -----

Q: The Addition Rule for the probability that events A or B or C will occur, P(A or B or C), is given…

A: Given that P(A)=0.35, P(B) = 0.22, P(C)=0.18 P(A and B) 0.11, P(A and C)=0.03, P(B and C)=0.08 , P(A…

Q: A restaurant owner speculates from his past experience that 20% of the customers cancel their…

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Q: Three friends (A, B, and C) will participate in a round-robin tournament in which each one plays…

A: Each person can win if: A wins BB wins CC wins A That is, A beats BB beats CA does not beat C

Q: 0. What is the probability that a student does not have a college 1. A vending machine offers 8…

A: Answer is mentioned below for 4th one

Q: Assume that you randomly pick one of the bowls: X, Y, or Z. You then randomly draw one ball out of…

A: To work out the required conditional probabilities

Q: Seven husbands (h1 to h7) are separated from their 7 wives( w1 to w7) and are then paired randomly.…

A: a) We need to find the probability that at least one husband is matched to his wife.

Q: Let P(A) and P(B) be the probabilities that events A and B will occur. Which of the following is…

A: Solution

Q: Determine if the events E and F are independent. P(E) = 0.76, P(F) = 0.7, P(En F) = 0.51 O…

A:

Q: Direction: Identify if the given is TRUE OF FALSE. 1. If the two events stated in a probability…

A: To identify if the given is true or false :

Q: a. Provide two independent events that you know the probability of. b. Explain how you know these…

A: "Since you have asked multiple question, we will solve first question for you. If you want any…

Q: The table shows the probability that a person chosen at random from a certain community will have…

A: Solution-: Given table : X P(X) 0 0.54 1 0.23 2 0.15 3 0.05 4 0.03 We find, (a)…