**Title:** Probability with Dice**Description:**In this exercise, we explore the probabilities associated with rolling two six-sided dice. We're interested in two specific events:- **Event A:** The outcome where the total sum of the dice equals 9.- **Event C:** The outcome where both dice show the same number.**Task:**Determine the probabilities of the following conditional events:- \( P(C|A') \): The probability that the dice show the same number, given they do not sum up to 9.- \( P(C'|A') \): The probability that the dice do not show the same number, given they do not sum up to 9.**Instructions:**Calculate the probabilities, and then simplify your answers:1. \( P(C|A') = \) [Enter your answer and simplify it.]2. \( P(C'|A') = \) [Enter your answer and simplify it.]**Additional Notes:*** \( A' \) represents the complement of event A, i.e., the dice do not add up to 9.* \( C' \) represents the complement of event C, i.e., the dice do not show the same number.This activity will help reinforce concepts of conditional probability and the use of complements in probability calculations.

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Answered: Two fair six-sided dice are rolled. Let…

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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Two fair six-sided dice are rolled. Let A = the event that the dice add to 9, and let C = the event that the dice show the same number. Find P(CJA') and P(C'JA'). ..... P(CJA') = (Simplify your answer.) P(C'JA') =-| (Simplify your answer.)