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.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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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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