To win a game an individual must roll a 3 with a 4-sided die. To win the grand prize the player has 4 attempts to roll a 3. a. On which roll is the individual most likely to successfully roll a 3? b. What is the probability that the individual won the prize?

To win a game an individual must roll a 3 with a 4-sided die. To win the grand prize the player has 4 attempts to roll a 3. a. On which roll is the individual most likely to successfully roll a 3? b. What is the probability that the individual won the prize?

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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Question

To win a game an individual must roll a 3 with a 4-sided die. To win the grand prize the player has 4 attempts to roll a 3.

a. On which roll is the individual most likely to successfully roll a 3?

b. What is the probability that the individual won the prize?

c. If the player won the prize, what is the expected number of rolls taken?

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