Question

Determine whether these events are mutually exclusive. a. Roll two dice: Get a sum of 7 or get doubles. b. Select a student in your college: The student is a sophomore and the student is a business major. c. Select any course: It is a calculus course and it is an English course. d. Select a registered voter: The voter is a Republican and the voter is a Democrat.

Name: Problem 4, Chapter 4: Elementary Statistics a Step by Step Approach
Uploaded: 2020-07-17T18:53:16-08:00
Duration: 2 min 37 s
Channel: Stephanie Meno
Description: Determine whether these events are mutually exclusive. a. Roll two dice: Get a sum of 7 or get doubles. b. Select a student in your college: The student is a sophomore and the student is a business major. c. Select any course: It is a calculus course and it is an English course. d. Select a registered voter: The voter is a Republican and the voter is a Democrat.

   Determine whether these events are mutually exclusive.
a. Roll two dice: Get a sum of 7 or get doubles.
b. Select a student in your college: The student is a sophomore and the student is a business major.
c. Select any course: It is a calculus course and it is an English course.
d. Select a registered voter: The voter is a Republican and the voter is a Democrat.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Chapter 4, Problem 4

Instant Answer

Solved by Expert Stephanie Meno

07/17/2020

Step 1

Mutually exclusive events are events that cannot occur at the same time. In other words, the occurrence of one event excludes the occurrence of the other. Show more…

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Determine whether these events are mutually exclusive. a. Roll two dice: Get a sum of 7 or get doubles. b. Select a student in your college: The student is a sophomore and the student is a business major. c. Select any course: It is a calculus course and it is an English course. d. Select a registered voter: The voter is a Republican and the voter is a Democrat.

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Key Concepts

Intersection of Events

The intersection of events refers to the set of outcomes that are common to both events. Evaluating if this intersection is empty helps decide if the events can occur together or if they are mutually exclusive. A non-empty intersection means the events are not mutually exclusive.

Compound Events

Compound events involve scenarios where multiple events or conditions are considered together. Analyzing compound events often requires checking if the combination of events can occur simultaneously or if the conditions contradict one another, thereby making the events mutually exclusive.

Mutually Exclusive Events

Mutually exclusive events are events that cannot occur simultaneously. In probability, if one event happens, it completely excludes the possibility of the other event happening. The determination is based on whether the intersection of the event outcomes is empty.

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