4) Some games have unusual dice. That is to say, they have dice with a different number of sides than the usual 6 sides. Dungeons and Dragons, for example, uses a 12-sided die. And there is a game Mary plays tha uses two dice, one of them is 4-sided (the sides are numbered 1 through 4) and the other die is 5-sided (the sides are numbered 1 through 5). a) Draw a lattice diagram that represents the possible outcomes of a roll of the two dice in Mary's game. b) How many total outcomes are there in our sample space? What is the probability that the dice will sum to 4? d) What is the probability of rolling doubles (both dice are the same). What is the sum most likely to be rolled? What is the probability of this sum? What is the probability that the difference between the two dice is 1? g) What is the probability of rolling snake eyes?

4) Some games have unusual dice. That is to say, they have dice with a different number of sides than the usual 6 sides. Dungeons and Dragons, for example, uses a 12-sided die. And there is a game Mary plays tha uses two dice, one of them is 4-sided (the sides are numbered 1 through 4) and the other die is 5-sided (the sides are numbered 1 through 5). a) Draw a lattice diagram that represents the possible outcomes of a roll of the two dice in Mary's game. b) How many total outcomes are there in our sample space? What is the probability that the dice will sum to 4? d) What is the probability of rolling doubles (both dice are the same). What is the sum most likely to be rolled? What is the probability of this sum? What is the probability that the difference between the two dice is 1? g) What is the probability of rolling snake eyes?

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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