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Consider the following definitions for sets of characters: You are given a six-sided die (D6) and a four-sided die (D4). The D6 is weighted so the 6 is three times as likely as any other individual side. The D4 is weighted so the 2 is twice as likely as the 1, the 3 is three times as likely as the 1, and the 4 is four times as likely as the 1. a What is the probability distribution of the D6? (i.e. specify the probability of each outcome) b What is the probability distribution of the D4? (i.e. specify the probability of each outcome) c You roll both dice. What is the probability that you roll a sum of 7? d You roll both dice. What is the probability that you roll a sum of 11?

Consider the following definitions for sets of characters: You are given a six-sided die (D6) and a four-sided die (D4). The D6 is weighted so the 6 is three times as likely as any other individual side. The D4 is weighted so the 2 is twice as likely as the 1, the 3 is three times as likely as the 1, and the 4 is four times as likely as the 1. a What is the probability distribution of the D6? (i.e. specify the probability of each outcome) b What is the probability distribution of the D4? (i.e. specify the probability of each outcome) c You roll both dice. What is the probability that you roll a sum of 7? d You roll both dice. What is the probability that you roll a sum of 11?

Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter11: Nonlinear Programming
Section11.10: Quadratic Programming
Problem 1P
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Consider the following definitions for sets of characters: You are given a six-sided die (D6) and a four-sided die (D4). The D6 is weighted so the 6 is three times as likely as any other individual side. The D4 is weighted so the 2 is twice as likely as the 1, the 3 is three times as likely as the 1, and the 4 is four times as likely as the 1. a What is the probability distribution of the D6? (i.e. specify the probability of each outcome) b What is the probability distribution of the D4? (i.e. specify the probability of each outcome) c You roll both dice. What is the probability that you roll a sum of 7? d You roll both dice. What is the probability that you roll a sum of 11?
Transcribed Image Text:Consider the following definitions for sets of characters: You are given a six-sided die (D6) and a four-sided die (D4). The D6 is weighted so the 6 is three times as likely as any other individual side. The D4 is weighted so the 2 is twice as likely as the 1, the 3 is three times as likely as the 1, and the 4 is four times as likely as the 1. a What is the probability distribution of the D6? (i.e. specify the probability of each outcome) b What is the probability distribution of the D4? (i.e. specify the probability of each outcome) c You roll both dice. What is the probability that you roll a sum of 7? d You roll both dice. What is the probability that you roll a sum of 11?
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