**T5.11. Dice Game Probability Exercise**Your teacher has created a "fair" dice game. Here's how it works:- Your teacher rolls a fair eight-sided die.- You roll a fair six-sided die.- Each player rolls once.- The player with the higher number wins.- In case of a tie, neither player wins.The table below shows the possible outcomes:| | **Teacher Rolls** | ||-----------|:------------------:|------------|| **You Roll** | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 || **1** | | | | | | | | || **2** | | | | | | | | || **3** | | | | | | | | || **4** | | | | | | | | || **5** | | | | | | | | || **6** | | | | | | | | |**Questions:**(a) Let \( A \) be the event "your teacher wins." Find \( P(A) \).(b) Let \( B \) be the event "you get a 3 on your first roll." Find \( P(A \cup B) \).(c) Are events \( A \) and \( B \) independent? Justify your answer.

The total possible outcomes are, Teacher Rolls You Roll 1 2 3 4 5 6 7 8 1 (1,…

Answered: **T5.11. Dice Game Probability…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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