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.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49afb7df-f709-4dd2-b9c6-c954a26c9558%2F8c8dbd15-12df-490b-87fe-0e2df89bb776%2Fr9mnge_processed.jpeg&w=3840&q=75)
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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