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Q2. Four married couples sit in a row. In how many ways can this be done if a. There are no restrictions. b. Each married couple sits together.

Q2. Four married couples sit in a row. In how many ways can this be done if a. There are no restrictions. b. Each married couple sits together.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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Q2. Four married couples sit in a row. In how many ways can this be done if a. There are no restrictions. b. Each married couple sits together. Q3. Suppose that Pis a probability measure defined on the sample space S. Prove that P(AOB°)=1-P(A)– P(B)+ P(A^B). Q4. Let A and B be events with P(A) =0.3, P(AUB)=0.5 and P(B) = p. Find p if: a. .A and Bare disjoint. b. A and Bare independent. Q5. An urn contains 4 red and 6 white chips, 5 chips are drawn at random, without replacement. a. What is the probability that the first three chip flow exactly the sequence RWR? b. What is the probability that the second chip is red? c. hat is probability of drawing a total of 2 red chips out of the 5? d. Answer the previous question if they are drawn with replacement.
Transcribed Image Text:Q2. Four married couples sit in a row. In how many ways can this be done if a. There are no restrictions. b. Each married couple sits together. Q3. Suppose that Pis a probability measure defined on the sample space S. Prove that P(AOB°)=1-P(A)– P(B)+ P(A^B). Q4. Let A and B be events with P(A) =0.3, P(AUB)=0.5 and P(B) = p. Find p if: a. .A and Bare disjoint. b. A and Bare independent. Q5. An urn contains 4 red and 6 white chips, 5 chips are drawn at random, without replacement. a. What is the probability that the first three chip flow exactly the sequence RWR? b. What is the probability that the second chip is red? c. hat is probability of drawing a total of 2 red chips out of the 5? d. Answer the previous question if they are drawn with replacement.
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