Please provide a well explained and correct solution for the following Consider a single throw of two fair dice. Determine if the events A and B are mutuallyexclusive. Justify your answers.Let A be the event that the sum of the faces showing is even. Let B be the event thatthe sun of the faces showing are odd.Let A be the event that the number on one face is twice the number on the other face.Let B be the event that the sum of the faces showing is a multiple of 2.

Answered: Consider a single throw of two fair…

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

Please provide a well explained and correct solution for the following

Consider a single throw of two fair dice. Determine if the events A and B are mutually
exclusive. Justify your answers.
Let A be the event that the sum of the faces showing is even. Let B be the event that
the sun of the faces showing are odd.
Let A be the event that the number on one face is twice the number on the other face.
Let B be the event that the sum of the faces showing is a multiple of 2.

Expert Solution

Step 1

When an experiment is performed then the subset of sample space or possible outcomes of the experiment is called an event. For example if two coins are tosses then getting two heads will be an event of the experiment.

Two events are called mutually exclusive if both the events cannot occur together. There are no common outcomes between two mutually exclusive events. For example, if a dice is rolled then an event of getting an event number will be mutually exclusive to event of getting odd number.