: For two events A and B in the sample space of a random experiment P(A)=2P (B)=4P(AB)=0.6. Find the probability of the following events : (1) A' B' (2) A' B'
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Q: TRUE or FALSE For events A and B in a sample space, P(A|B) + P(A|Bc) = P(B).
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Q: Let A and B are events of an experiment and P(A) = 1/4, P(AUB) = 1/2 then value of P(B/AC) is
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Q: An engineering school reports that 53% of its students are male (M), 37% of its students are between…
A: From the given information, P(M) = 0.53, P(A) =0.37 and P(M∩A) =0.20.
Q: If A and B are disjoint events such that P(A) =0.30 and P(B)=0.50 then P(BNAC) %3D
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- Two fair dice are rolled at the same time and the number of dots appearing on both dice is counted. (i). Make a table to represent the sample space for this pair of dice (I)Find the probability that the sum is 7 (ii). Find the probability that the sum is an odd number larger than 6 (iii) Find the probability that the sum is less than 2 (iv). Find the probability that the sum is more than 12 (v). Find the probability that the sum is between 2 and 12 inclusive.Suppose A and B are two events with probabilities: P(A°) = .25, P(B) = .35, P(AN B) = .30. a) What is (A|B) ? b) What is (B|A) ?Q.No.3. (a) A bag contains 12 balls, 4 of which are red, 3 black and 5 green. Three balls are drawn from the bag. Find the probability that (i) all three are green (ii) The first is red, second is green and third is black. (b) A sale person has a 40% chance of making a sale to any customer who is called upon. If 18 calls are made, what is the probability that (i) at most 3 sales are made (ii) at least 17 sales are made.
- I only need question 11 answered, question 10 is information pretaining to question 11. (10) Suppose you roll two fair dice. Each die has 6 faces. (a) Let A be the event that the two numbers we roll are the same. Find P (A). (b) Let B be the event that the sum of the two rolls is less than 5. Find P (B). (c) Find P(A and B). (d) Are A and B mutually exclusive events? (e) Are A and B independent events? (11) Refer to the previous problem. Find (a) P (Bc) (b) P (A or B) (c) P (A and Bc) (d) P (A or Bc) (e) P(A|Bc)Peter fails quizzes with probability 1/4, independent of other quizzes. What is the probability that the second and third time Dave fails a quiz will occur when he takes his eight and ninth quizzes respectively?A and B are both events in sample space S. P(A) = 0.4 P(B) = 0.3 P(AandB) = 0.2 What's the probability of either A or B occuring?
- S3: An urn contains 4 black balls and 3 white balls. In our random experiment, on each trial one of the balls is drawn at random and then put back in the urn along with 2 additional balls of the same color. Answer the following questions. (a) color of the first ball drawn is black given that the color of the second ball drawn is white? We conduct two trials, one after the other. What is the probability that the (b) experiment, let's define a discrete random process such that X, is the number of white balls in the urn after the nh trial. Is X, a Markov Chain? Explain why or why not. Assuming we have an infinite number of balls of either color available in thisTrue or False: For a given experiment, it is possible to have two events A and B for which p(A) + p(B) > p(AUB). True False(a) Choose the correct alternative : "For two equally likely, exhaustive and independent events A and B, P(AB) is : (ii) 0.25, (i) 0, (iii) 0.50. (iv) 1. (b) Comment on the following : A and B are two events such that 1 P(B) 4' P (A U B) = 5 P(A) Hence P(B\A) 3