Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 12.5, Problem 6CYU
To determine

To state whether the events are mutually exclusive or not mutually exclusive and find the probability.

Expert Solution & Answer
Check Mark

Answer to Problem 6CYU

The events are mutually exclusive and the probability P(diamond or heart)=12 or 50% .

Explanation of Solution

Given information:

The given statement is:

  P(diamond or heart)

Formula used:

The following formula is used:

  Probability=Number of possible outcomesTotal number of outcomes

Calculation :

The events are mutually exclusive because a card cannot be both a diamond and a heart.

The probability can be calculated by;

  P(diamond)=1352P(heart)=1352P(diamond or heart)=1352+1352P(diamond or heart)=2652P(diamond or heart)=12 or 50%

Hence, the events are mutually exclusive and the probability P(diamond or heart)=12 or 50% .

Chapter 12 Solutions

Algebra 1

Ch. 12.1 - Prob. 4CYUCh. 12.1 - Prob. 5CYUCh. 12.1 - Prob. 6CYUCh. 12.1 - Prob. 7PPSCh. 12.1 - Prob. 8PPSCh. 12.1 - Prob. 9PPSCh. 12.1 - Prob. 10PPSCh. 12.1 - Prob. 11PPSCh. 12.1 - Prob. 12PPSCh. 12.1 - Prob. 13PPSCh. 12.1 - Prob. 14PPSCh. 12.1 - Prob. 15PPSCh. 12.1 - Prob. 16PPSCh. 12.1 - Prob. 17PPSCh. 12.1 - Prob. 18PPSCh. 12.1 - Prob. 19PPSCh. 12.1 - Prob. 20PPSCh. 12.1 - Prob. 21HPCh. 12.1 - Prob. 22HPCh. 12.1 - Prob. 23HPCh. 12.1 - Prob. 24HPCh. 12.1 - Prob. 25STPCh. 12.1 - Prob. 26STPCh. 12.1 - Prob. 27STPCh. 12.1 - Prob. 28STPCh. 12.1 - Prob. 29SRCh. 12.1 - Prob. 30SRCh. 12.1 - Prob. 31SRCh. 12.1 - Prob. 32SRCh. 12.1 - Prob. 33SRCh. 12.1 - Prob. 34SRCh. 12.1 - Prob. 35SRCh. 12.1 - Prob. 36SRCh. 12.1 - Prob. 37SRCh. 12.1 - Prob. 38SRCh. 12.1 - Prob. 39SRCh. 12.1 - Prob. 40SCh. 12.2 - Prob. 1ACYPCh. 12.2 - Prob. 1BCYPCh. 12.2 - Prob. 2CYPCh. 12.2 - Prob. 3CYPCh. 12.2 - Prob. 28PPSCh. 12.2 - Prob. 30HPCh. 12.2 - Prob. 35STPCh. 12.2 - Prob. 1CYUCh. 12.2 - Prob. 2CYUCh. 12.2 - Prob. 3CYUCh. 12.2 - Prob. 4CYUCh. 12.2 - Prob. 5CYUCh. 12.2 - Prob. 6CYUCh. 12.2 - Prob. 7CYUCh. 12.2 - Prob. 8CYUCh. 12.2 - Prob. 9CYUCh. 12.2 - Prob. 10PPSCh. 12.2 - Prob. 11PPSCh. 12.2 - Prob. 12PPSCh. 12.2 - Prob. 13PPSCh. 12.2 - Prob. 14PPSCh. 12.2 - Prob. 15PPSCh. 12.2 - Prob. 16PPSCh. 12.2 - Prob. 17PPSCh. 12.2 - Prob. 18PPSCh. 12.2 - Prob. 19PPSCh. 12.2 - Prob. 20PPSCh. 12.2 - Prob. 21PPSCh. 12.2 - Prob. 22PPSCh. 12.2 - Prob. 23PPSCh. 12.2 - Prob. 24PPSCh. 12.2 - Prob. 25PPSCh. 12.2 - Prob. 26PPSCh. 12.2 - Prob. 27PPSCh. 12.2 - Prob. 29HPCh. 12.2 - Prob. 31HPCh. 12.2 - Prob. 33STPCh. 12.2 - Prob. 34STPCh. 12.2 - Prob. 36STPCh. 12.2 - Prob. 37SRCh. 12.2 - Prob. 38SRCh. 12.2 - Prob. 39SRCh. 12.2 - Prob. 40SRCh. 12.2 - Prob. 41SRCh. 12.2 - Prob. 42SRCh. 12.2 - Prob. 43SRCh. 12.2 - Prob. 44SRCh. 12.2 - Prob. 45SRCh. 12.2 - Prob. 46SCh. 12.2 - Prob. 47SCh. 12.2 - Prob. 48SCh. 12.2 - Prob. 49SCh. 12.2 - Prob. 50SCh. 12.2 - Prob. 51SCh. 12.3 - Prob. 23HPCh. 12.3 - Prob. 1CYPCh. 12.3 - Prob. 2CYPCh. 12.3 - Prob. 3ACYPCh. 12.3 - Prob. 3BCYPCh. 12.3 - Prob. 4CYPCh. 12.3 - Prob. 1CYUCh. 12.3 - Prob. 2CYUCh. 12.3 - Prob. 3CYUCh. 12.3 - Prob. 4CYUCh. 12.3 - Prob. 5CYUCh. 12.3 - Prob. 6CYUCh. 12.3 - Prob. 7CYUCh. 12.3 - Prob. 8PPSCh. 12.3 - Prob. 9PPSCh. 12.3 - Prob. 10PPSCh. 12.3 - Prob. 11PPSCh. 12.3 - Prob. 12PPSCh. 12.3 - Prob. 13PPSCh. 12.3 - Prob. 14PPSCh. 12.3 - Prob. 15PPSCh. 12.3 - Prob. 16PPSCh. 12.3 - Prob. 17PPSCh. 12.3 - Prob. 18PPSCh. 12.3 - Prob. 19PPSCh. 12.3 - Prob. 20PPSCh. 12.3 - Prob. 21PPSCh. 12.3 - Prob. 22HPCh. 12.3 - Prob. 24HPCh. 12.3 - Prob. 25HPCh. 12.3 - Prob. 26HPCh. 12.3 - Prob. 27HPCh. 12.3 - Prob. 28STPCh. 12.3 - Prob. 29STPCh. 12.3 - Prob. 30STPCh. 12.3 - Prob. 31STPCh. 12.3 - Prob. 32SRCh. 12.3 - Prob. 33SRCh. 12.3 - Prob. 34SRCh. 12.3 - Prob. 35SRCh. 12.3 - Prob. 36SRCh. 12.3 - Prob. 37SCh. 12.3 - Prob. 38SCh. 12.3 - Prob. 39SCh. 12.3 - Prob. 40SCh. 12.3 - Prob. 41SCh. 12.3 - Prob. 42SCh. 12.3 - Prob. 1MCQCh. 12.3 - Prob. 2MCQCh. 12.3 - Prob. 3MCQCh. 12.3 - Prob. 4MCQCh. 12.3 - Prob. 5MCQCh. 12.3 - Prob. 6MCQCh. 12.3 - Prob. 7MCQCh. 12.3 - Prob. 8MCQCh. 12.3 - Prob. 9MCQCh. 12.3 - Prob. 10MCQCh. 12.3 - Prob. 11MCQCh. 12.3 - Prob. 12MCQCh. 12.3 - Prob. 13MCQCh. 12.3 - Prob. 14MCQCh. 12.3 - Prob. 15MCQCh. 12.4 - Prob. 1CYPCh. 12.4 - Prob. 2CYPCh. 12.4 - Prob. 3CYPCh. 12.4 - Prob. 4CYPCh. 12.4 - Prob. 5ACYPCh. 12.4 - Prob. 5BCYPCh. 12.4 - Prob. 1CYUCh. 12.4 - Prob. 2CYUCh. 12.4 - Prob. 3CYUCh. 12.4 - Prob. 4CYUCh. 12.4 - Prob. 5CYUCh. 12.4 - Prob. 6CYUCh. 12.4 - Prob. 7CYUCh. 12.4 - Prob. 8CYUCh. 12.4 - Prob. 9PPSCh. 12.4 - Prob. 10PPSCh. 12.4 - Prob. 11PPSCh. 12.4 - Prob. 12PPSCh. 12.4 - Prob. 13PPSCh. 12.4 - Prob. 14PPSCh. 12.4 - Prob. 15PPSCh. 12.4 - Prob. 16PPSCh. 12.4 - Prob. 17PPSCh. 12.4 - Prob. 18PPSCh. 12.4 - Prob. 19PPSCh. 12.4 - Prob. 20PPSCh. 12.4 - Prob. 21PPSCh. 12.4 - Prob. 22PPSCh. 12.4 - Prob. 23PPSCh. 12.4 - Prob. 24PPSCh. 12.4 - Prob. 25PPSCh. 12.4 - Prob. 26PPSCh. 12.4 - Prob. 27PPSCh. 12.4 - Prob. 28PPSCh. 12.4 - Prob. 29PPSCh. 12.4 - Prob. 30PPSCh. 12.4 - Prob. 31PPSCh. 12.4 - Prob. 32PPSCh. 12.4 - Prob. 33PPSCh. 12.4 - Prob. 34PPSCh. 12.4 - Prob. 35HPCh. 12.4 - Prob. 36HPCh. 12.4 - Prob. 37HPCh. 12.4 - Prob. 38HPCh. 12.4 - Prob. 39HPCh. 12.4 - Prob. 40STPCh. 12.4 - Prob. 41STPCh. 12.4 - Prob. 42STPCh. 12.4 - Prob. 43STPCh. 12.4 - Prob. 44SRCh. 12.4 - Prob. 45SRCh. 12.4 - Prob. 46SRCh. 12.4 - Prob. 47SRCh. 12.4 - Prob. 48SRCh. 12.4 - Prob. 49SRCh. 12.4 - Prob. 50SRCh. 12.4 - Prob. 51SRCh. 12.4 - Prob. 52SRCh. 12.4 - Prob. 53SRCh. 12.4 - Prob. 54SRCh. 12.4 - Prob. 55SRCh. 12.4 - Prob. 56SRCh. 12.4 - Prob. 57SCh. 12.4 - Prob. 58SCh. 12.4 - Prob. 59SCh. 12.4 - Prob. 60SCh. 12.4 - Prob. 61SCh. 12.4 - Prob. 62SCh. 12.5 - Prob. 1ACYPCh. 12.5 - Prob. 1BCYPCh. 12.5 - Prob. 2ACYPCh. 12.5 - Prob. 2BCYPCh. 12.5 - Prob. 3ACYPCh. 12.5 - Prob. 3BCYPCh. 12.5 - Prob. 4CYPCh. 12.5 - Prob. 1CYUCh. 12.5 - Prob. 2CYUCh. 12.5 - Prob. 3CYUCh. 12.5 - Prob. 4CYUCh. 12.5 - Prob. 5CYUCh. 12.5 - Prob. 6CYUCh. 12.5 - Prob. 7CYUCh. 12.5 - Prob. 8CYUCh. 12.5 - Prob. 9PPSCh. 12.5 - Prob. 10PPSCh. 12.5 - Prob. 11PPSCh. 12.5 - Prob. 12PPSCh. 12.5 - Prob. 13PPSCh. 12.5 - Prob. 14PPSCh. 12.5 - Prob. 15PPSCh. 12.5 - Prob. 16PPSCh. 12.5 - Prob. 17PPSCh. 12.5 - Prob. 18PPSCh. 12.5 - Prob. 19PPSCh. 12.5 - Prob. 20PPSCh. 12.5 - Prob. 21PPSCh. 12.5 - Prob. 22PPSCh. 12.5 - Prob. 23PPSCh. 12.5 - Prob. 24PPSCh. 12.5 - Prob. 25PPSCh. 12.5 - Prob. 26PPSCh. 12.5 - Prob. 27PPSCh. 12.5 - Prob. 28PPSCh. 12.5 - Prob. 29PPSCh. 12.5 - Prob. 30PPSCh. 12.5 - Prob. 31PPSCh. 12.5 - Prob. 32PPSCh. 12.5 - Prob. 33PPSCh. 12.5 - Prob. 34HPCh. 12.5 - Prob. 35HPCh. 12.5 - Prob. 36HPCh. 12.5 - Prob. 37HPCh. 12.5 - Prob. 38HPCh. 12.5 - Prob. 39STPCh. 12.5 - Prob. 40STPCh. 12.5 - Prob. 41STPCh. 12.5 - Prob. 42STPCh. 12.5 - Prob. 43SRCh. 12.5 - Prob. 44SRCh. 12.5 - Prob. 49SRCh. 12.5 - Prob. 50SRCh. 12.5 - Prob. 45SRCh. 12.5 - Prob. 46SRCh. 12.5 - Prob. 47SRCh. 12.5 - Prob. 48SRCh. 12.5 - Prob. 51SCh. 12.5 - Prob. 52SCh. 12.5 - Prob. 53SCh. 12.5 - Prob. 54SCh. 12.5 - Prob. 55SCh. 12.5 - Prob. 56SCh. 12.6 - Prob. 2ACYPCh. 12.6 - Prob. 2CCYPCh. 12.6 - Prob. 2CYUCh. 12.6 - Prob. 10PPSCh. 12.6 - Prob. 11PPSCh. 12.6 - Prob. 12PPSCh. 12.6 - Prob. 13PPSCh. 12.6 - Prob. 14HPCh. 12.6 - Prob. 15HPCh. 12.6 - Prob. 16HPCh. 12.6 - Prob. 17HPCh. 12.6 - Prob. 18HPCh. 12.6 - Prob. 1ACYPCh. 12.6 - Prob. 1BCYPCh. 12.6 - Prob. 2BCYPCh. 12.6 - Prob. 1CYUCh. 12.6 - Prob. 3CYUCh. 12.6 - Prob. 4PPSCh. 12.6 - Prob. 5PPSCh. 12.6 - Prob. 6PPSCh. 12.6 - Prob. 7PPSCh. 12.6 - Prob. 8PPSCh. 12.6 - Prob. 9PPSCh. 12.6 - Prob. 19STPCh. 12.6 - Prob. 20STPCh. 12.6 - Prob. 21STPCh. 12.6 - Prob. 22STPCh. 12.6 - Prob. 23SRCh. 12.6 - Prob. 24SRCh. 12.6 - Prob. 25SRCh. 12.6 - Prob. 26SRCh. 12.6 - Prob. 27SRCh. 12.6 - Prob. 28SRCh. 12.6 - Prob. 29SRCh. 12.6 - Prob. 30SRCh. 12.6 - Prob. 31SRCh. 12.6 - Prob. 32SRCh. 12.6 - Prob. 33SRCh. 12.6 - Prob. 34SRCh. 12.6 - Prob. 35SCh. 12.6 - Prob. 36SCh. 12.6 - Prob. 37SCh. 12.7 - Prob. 30SRCh. 12.7 - Prob. 31SRCh. 12.7 - Prob. 32SRCh. 12.7 - Prob. 33SRCh. 12.7 - Prob. 34SRCh. 12.7 - Prob. 35SRCh. 12.7 - Prob. 36SRCh. 12.7 - Prob. 37SRCh. 12.7 - Prob. 38SRCh. 12.7 - Prob. 39SRCh. 12.7 - Prob. 1CYPCh. 12.7 - Prob. 2ACYPCh. 12.7 - Prob. 2BCYPCh. 12.7 - Prob. 3ACYPCh. 12.7 - Prob. 3BCYPCh. 12.7 - Prob. 3CCYPCh. 12.7 - Prob. 3DCYPCh. 12.7 - Prob. 1CYUCh. 12.7 - Prob. 2CYUCh. 12.7 - Prob. 3CYUCh. 12.7 - Prob. 4CYUCh. 12.7 - Prob. 5PPSCh. 12.7 - Prob. 6PPSCh. 12.7 - Prob. 7PPSCh. 12.7 - Prob. 8PPSCh. 12.7 - Prob. 9PPSCh. 12.7 - Prob. 10PPSCh. 12.7 - Prob. 11PPSCh. 12.7 - Prob. 12PPSCh. 12.7 - Prob. 13PPSCh. 12.7 - Prob. 14PPSCh. 12.7 - Prob. 15HPCh. 12.7 - Prob. 16HPCh. 12.7 - Prob. 17HPCh. 12.7 - Prob. 18HPCh. 12.7 - Prob. 19HPCh. 12.7 - Prob. 20STPCh. 12.7 - Prob. 21STPCh. 12.7 - Prob. 22STPCh. 12.7 - Prob. 23STPCh. 12.7 - Prob. 24SRCh. 12.7 - Prob. 25SRCh. 12.7 - Prob. 26SRCh. 12.7 - Prob. 27SRCh. 12.7 - Prob. 28SRCh. 12.7 - Prob. 29SRCh. 12 - Prob. 1QCCh. 12 - Prob. 2QCCh. 12 - Prob. 3QCCh. 12 - Prob. 4QCCh. 12 - Prob. 5QCCh. 12 - Prob. 6QCCh. 12 - Prob. 7QCCh. 12 - Prob. 8QCCh. 12 - Prob. 9QCCh. 12 - Prob. 10QCCh. 12 - Prob. 11QCCh. 12 - Prob. 12QCCh. 12 - Prob. 13QCCh. 12 - Prob. 14QCCh. 12 - Prob. 15QCCh. 12 - Prob. 16QCCh. 12 - Prob. 17QCCh. 12 - Prob. 1SGRCh. 12 - Prob. 2SGRCh. 12 - Prob. 3SGRCh. 12 - Prob. 4SGRCh. 12 - Prob. 5SGRCh. 12 - Prob. 6SGRCh. 12 - Prob. 7SGRCh. 12 - Prob. 8SGRCh. 12 - Prob. 9SGRCh. 12 - Prob. 10SGRCh. 12 - Prob. 11SGRCh. 12 - Prob. 12SGRCh. 12 - Prob. 13SGRCh. 12 - Prob. 14SGRCh. 12 - Prob. 15SGRCh. 12 - Prob. 16SGRCh. 12 - Prob. 17SGRCh. 12 - Prob. 18SGRCh. 12 - Prob. 19SGRCh. 12 - Prob. 20SGRCh. 12 - Prob. 21SGRCh. 12 - Prob. 22SGRCh. 12 - Prob. 23SGRCh. 12 - Prob. 24SGRCh. 12 - Prob. 25SGRCh. 12 - Prob. 26SGRCh. 12 - Prob. 27SGRCh. 12 - Prob. 28SGRCh. 12 - Prob. 29SGRCh. 12 - Prob. 30SGRCh. 12 - Prob. 31SGRCh. 12 - Prob. 32SGRCh. 12 - Prob. 33SGRCh. 12 - Prob. 34SGRCh. 12 - Prob. 35SGRCh. 12 - Prob. 36SGRCh. 12 - Prob. 1PTCh. 12 - Prob. 2PTCh. 12 - Prob. 3PTCh. 12 - Prob. 4PTCh. 12 - Prob. 5PTCh. 12 - Prob. 6PTCh. 12 - Prob. 7PTCh. 12 - Prob. 8PTCh. 12 - Prob. 9PTCh. 12 - Prob. 10PTCh. 12 - Prob. 11PTCh. 12 - Prob. 12PTCh. 12 - Prob. 13PTCh. 12 - Prob. 14PTCh. 12 - Prob. 15PTCh. 12 - Prob. 16PTCh. 12 - Prob. 17PTCh. 12 - Prob. 18PTCh. 12 - Prob. 19PTCh. 12 - Prob. 20PTCh. 12 - Prob. 1STPCh. 12 - Prob. 2STPCh. 12 - Prob. 3STPCh. 12 - Prob. 4STPCh. 12 - Prob. 5STPCh. 12 - Prob. 6STPCh. 12 - Prob. 7STPCh. 12 - Prob. 8STPCh. 12 - Prob. 9STPCh. 12 - Prob. 10STPCh. 12 - Prob. 11STPCh. 12 - Prob. 12STPCh. 12 - Prob. 13STPCh. 12 - Prob. 14STPCh. 12 - Prob. 15STPCh. 12 - Prob. 16STPCh. 12 - Prob. 17STPCh. 12 - Prob. 18STP
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