George Sicherman found a strange way to number the faces of a pair of dice that leads to the same probability distribution of totals as an ordinary pair. One die is marked (1, 3, 4, 5, 6, 8) and the other (1, 2, 2, 3, 3, 4). Write down the 36 ways in which two Sicherman dice can fall. Check that the totals from a pair of Sicherman dice have the same probabilities as the totals from ordinary dice. Compare the odds of throwing doubles with Sicherman dice to those of throwing doubles with ordinary dice.

George Sicherman found a strange way to number the faces of a pair of dice that leads to the same probability distribution of totals as an ordinary pair. One die is marked (1, 3, 4, 5, 6, 8) and the other (1, 2, 2, 3, 3, 4). Write down the 36 ways in which two Sicherman dice can fall. Check that the totals from a pair of Sicherman dice have the same probabilities as the totals from ordinary dice. Compare the odds of throwing doubles with Sicherman dice to those of throwing doubles with ordinary dice.

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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