4.10 A die is rolled two times. Provide a list of the possible outcomes of the two rolls in this form: the result from the first roll and the result from the second roll. 4.11 Refer to Exercise 4.10. Assume that the die is a fair die, that is, each of the outcomes has a probability of 1/36. What is the probability of observing a. Event A: Exactly one dot appears on each of the two upturned faces? b. Event B: The sum of the dots on the two upturned faces is exactly 4? c. Event C: The sum of the dots on the two upturned faces is at most 4? 4.12 Refer to Exercise 4.11. a. Describe the event that is the complement of event A. b. Compute the complement of event A. 4.13 Refer to Exercise 4.11. a. Are events A and B mutually exclusive? b. Are events A and C mutually exclusive? c. Are events B and C mutually exclusive?
4.10 A die is rolled two times. Provide a list of the possible outcomes of the two rolls in this form: the result from the first roll and the result from the second roll. 4.11 Refer to Exercise 4.10. Assume that the die is a fair die, that is, each of the outcomes has a probability of 1/36. What is the probability of observing a. Event A: Exactly one dot appears on each of the two upturned faces? b. Event B: The sum of the dots on the two upturned faces is exactly 4? c. Event C: The sum of the dots on the two upturned faces is at most 4? 4.12 Refer to Exercise 4.11. a. Describe the event that is the complement of event A. b. Compute the complement of event A. 4.13 Refer to Exercise 4.11. a. Are events A and B mutually exclusive? b. Are events A and C mutually exclusive? c. Are events B and C mutually exclusive?
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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