An experiment is rolling two fair dice. a) What is the probability that the sum is 5? b) What is the probability that the sum is 5 given that the first die is a 3? c) What is the probability that the first die is a 3 given that the sum is 5?

An experiment is rolling two fair dice. a) What is the probability that the sum is 5? b) What is the probability that the sum is 5 given that the first die is a 3? c) What is the probability that the first die is a 3 given that the sum is 5?

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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Question

An experiment is rolling two fair dice.

a) What is the probability that the sum is 5?

b) What is the probability that the sum is 5 given that the first die is a 3?

c) What is the probability that the first die is a 3 given that the sum is 5?

Expert Solution

Step 1

roll two fair dice.

total possible outcomes = 6*6 = 36

$P (e v e n t) = \frac{n o . o f f a v o r a b l e o p u t c o m e s}{t o t a l o u t c o m e s}$

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