1. Consider two fair four-sided dice whose face show 1, 2, 3, 4. We roll two fair dice 30 times. (a) What is the probability of getting a sum of 4 in exactly ten of these rolls? (b) What is the expected number of rolls that show a sum of 4?

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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1. Consider two fair four-sided dice whose face show 1, 2, 3, 4. We roll two fair dice 30 times.
(a) What is the probability of getting a sum of 4 in exactly ten of these rolls?
(b) What is the expected number of rolls that show a sum of 4?
Transcribed Image Text:1. Consider two fair four-sided dice whose face show 1, 2, 3, 4. We roll two fair dice 30 times. (a) What is the probability of getting a sum of 4 in exactly ten of these rolls? (b) What is the expected number of rolls that show a sum of 4?
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