In the 4th volume of the light novel KonoSuba, Kazuma, Aqua, Megumin, Darkness, and Wiz are bound to travel on Arcanletia. They have picked a carriage that can accommodate five persons; however, for some reason, the carriage can only accommodate four persons at that day. This indicates that one should sit on the carriage’s floor along with their bags. To settle who will sit on the floor, Kazuma and Aqua decided to play three rounds of Rock-Paper-Scissors. Aqua wins if she won at least one of the rounds, and Kazuma wins if he won all of the rounds. Determine the following: (a) Probability of Aqua winning. (b) Probability of Kazuma winning.

In the 4th volume of the light novel KonoSuba, Kazuma, Aqua, Megumin, Darkness, and Wiz are bound to travel on Arcanletia. They have picked a carriage that can accommodate five persons; however, for some reason, the carriage can only accommodate four persons at that day. This indicates that one should sit on the carriage’s floor along with their bags. To settle who will sit on the floor, Kazuma and Aqua decided to play three rounds of Rock-Paper-Scissors. Aqua wins if she won at least one of the rounds, and Kazuma wins if he won all of the rounds. Determine the following: (a) Probability of Aqua winning. (b) Probability of Kazuma winning.

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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(a) Probability of Aqua winning.

(b) Probability of Kazuma winning.

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