In the game of Greed, six dice are rolled. A player usually finds it desirable to roll at least one 5. (Round your answers to three decimal places.) (a) Find the probability at least one 5 occurs when all six dice are rolled.

In the game of Greed, six dice are rolled. A player usually finds it desirable to roll at least one 5. (Round your answers to three decimal places.) (a) Find the probability at least one 5 occurs when all six dice are rolled.

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

In the game of Greed, six dice are rolled. A player usually finds it desirable to roll at least one 5. (Round your answers to three decimal places.)

(a) Find the probability at least one 5 occurs when all six dice are rolled.

(b) When 5's occur, the player removes the dice showing a 5 and rolls again. If four 5's occur when all six dice are rolled, the remaining two are rolled. Find the probability of at least one 5 when the two dice are rolled.

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