Glencoe Algebra 2 Student Edition C2014
Glencoe Algebra 2 Student Edition C2014
1st Edition
ISBN: 9780076639908
Author: McGraw-Hill Glencoe
Publisher: MCG
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Chapter 11.4, Problem 13PPS
To determine

The experimental and theoretical probabilities of the experiment

Expert Solution & Answer
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Answer to Problem 13PPS

  23.08%

  20%

Explanation of Solution

Given information:

Conduct a binomial experiment to determine the probability of drawing a face card out of a standard deck of cards. Then compare the experimental and theoretical probabilities of the experiment.

Calculation:

In general, the probability of event E is,

  P(E)=Number of favourable outcomesTotal number of outcomes

Consider the probability of choosing a face card from the deck of well shuffled cards.

There are 12 face cards and a total of 52 cards.

The theoretical probability of choosing a face card from the deck of well shuffled cards is, P(A face card )=C121C521=1252=23.08%

Hence, the theoretical probability of choosing a face card from a deck of well shuffled cards is 23.08% .

Consider the attributes of a binomial experiment.

A trial is choosing a face card from a deck of cards and the stimulation will be of 20 trials.

The success is choosing a face card.

The probability of success is 313 and the probability of failure is 1013 .

The random variable X represents the number of face cards chosen in 20 trials.

Use a random number generator from 1 to 13 .Assign 1 , 2 and 3 for success and the remaining 10 cards for failure.

The results of the experiment are as show below as per the random generator.|

  OutcomeTally FrequencyA face card||||4Not a face card|||||||||||||16

Since 4 out of 20 trials resulted in face card, the experimental probability of choosing a face card from a deck of well shuffled cards is,

  420=0.2=20%

Hence, the experimental probability of choosing face card from a deck of well shuffled cards is 20%

When compared, it is clear that the experimental probability is greater than the theoretical probability.

Chapter 11 Solutions

Glencoe Algebra 2 Student Edition C2014

Ch. 11.1 - Prob. 2CYUCh. 11.1 - Prob. 3CYUCh. 11.1 - Prob. 4CYUCh. 11.1 - Prob. 5CYUCh. 11.1 - Prob. 6CYUCh. 11.1 - Prob. 7CYUCh. 11.1 - Prob. 8CYUCh. 11.1 - Prob. 9CYUCh. 11.1 - Prob. 10PPSCh. 11.1 - Prob. 11PPSCh. 11.1 - Prob. 12PPSCh. 11.1 - Prob. 13PPSCh. 11.1 - Prob. 14PPSCh. 11.1 - Prob. 15PPSCh. 11.1 - Prob. 16PPSCh. 11.1 - Prob. 17PPSCh. 11.1 - Prob. 18PPSCh. 11.1 - Prob. 19PPSCh. 11.1 - Prob. 20PPSCh. 11.1 - Prob. 21PPSCh. 11.1 - Prob. 22PPSCh. 11.1 - Prob. 23PPSCh. 11.1 - Prob. 24PPSCh. 11.1 - Prob. 25PPSCh. 11.1 - Prob. 26PPSCh. 11.1 - Prob. 27PPSCh. 11.1 - Prob. 28HPCh. 11.1 - Prob. 29HPCh. 11.1 - Prob. 30HPCh. 11.1 - Prob. 31HPCh. 11.1 - Prob. 32HPCh. 11.1 - Prob. 33STPCh. 11.1 - Prob. 34STPCh. 11.1 - Prob. 35STPCh. 11.1 - Prob. 36STPCh. 11.1 - Prob. 37SRCh. 11.1 - Prob. 38SRCh. 11.1 - Prob. 39SRCh. 11.1 - Prob. 40SRCh. 11.1 - Prob. 41SRCh. 11.1 - Prob. 42SRCh. 11.1 - Prob. 43SRCh. 11.1 - Prob. 44SRCh. 11.1 - Prob. 45SRCh. 11.1 - Prob. 46SRCh. 11.1 - Prob. 47SRCh. 11.1 - Prob. 48SRCh. 11.1 - Prob. 49SRCh. 11.1 - Prob. 50SRCh. 11.1 - Prob. 51SRCh. 11.1 - Prob. 52SRCh. 11.1 - Prob. 53SRCh. 11.1 - Prob. 54SRCh. 11.1 - Prob. 55SRCh. 11.1 - Prob. 56SRCh. 11.1 - Prob. 57SRCh. 11.1 - Prob. 58SRCh. 11.1 - Prob. 59SRCh. 11.1 - Prob. 60SCh. 11.1 - Prob. 61SCh. 11.1 - Prob. 1ECh. 11.1 - Prob. 2ECh. 11.1 - Prob. 3ECh. 11.1 - Prob. 4ECh. 11.1 - Prob. 5ECh. 11.1 - Prob. 6ECh. 11.1 - Prob. 7ECh. 11.1 - Prob. 8ECh. 11.1 - Prob. 9ECh. 11.1 - Prob. 10ECh. 11.2 - Prob. 1GPCh. 11.2 - Prob. 2GPCh. 11.2 - Prob. 3GPCh. 11.2 - Prob. 4GPCh. 11.2 - Prob. 1CYUCh. 11.2 - Prob. 2CYUCh. 11.2 - Prob. 3CYUCh. 11.2 - Prob. 4CYUCh. 11.2 - Prob. 5PPSCh. 11.2 - Prob. 6PPSCh. 11.2 - Prob. 7PPSCh. 11.2 - Prob. 8PPSCh. 11.2 - Prob. 9PPSCh. 11.2 - Prob. 10PPSCh. 11.2 - Prob. 11PPSCh. 11.2 - Prob. 12PPSCh. 11.2 - Prob. 13HPCh. 11.2 - Prob. 14HPCh. 11.2 - Prob. 15HPCh. 11.2 - Prob. 16HPCh. 11.2 - Prob. 17STPCh. 11.2 - Prob. 18STPCh. 11.2 - Prob. 19STPCh. 11.2 - Prob. 20STPCh. 11.2 - Prob. 21SRCh. 11.2 - Prob. 22SRCh. 11.2 - Prob. 23SRCh. 11.2 - Prob. 24SRCh. 11.2 - Prob. 25SRCh. 11.2 - Prob. 26SCh. 11.2 - Prob. 27SCh. 11.2 - Prob. 28SCh. 11.2 - Prob. 29SCh. 11.3 - Prob. 1AGPCh. 11.3 - Prob. 1BGPCh. 11.3 - Prob. 2GPCh. 11.3 - Prob. 3GPCh. 11.3 - Prob. 4GPCh. 11.3 - Prob. 5GPCh. 11.3 - Prob. 1CYUCh. 11.3 - Prob. 2CYUCh. 11.3 - Prob. 3CYUCh. 11.3 - Prob. 4CYUCh. 11.3 - Prob. 5CYUCh. 11.3 - Prob. 6PPSCh. 11.3 - Prob. 7PPSCh. 11.3 - Prob. 8PPSCh. 11.3 - Prob. 9PPSCh. 11.3 - Prob. 10PPSCh. 11.3 - Prob. 11PPSCh. 11.3 - Prob. 12PPSCh. 11.3 - Prob. 13PPSCh. 11.3 - Prob. 14PPSCh. 11.3 - Prob. 15PPSCh. 11.3 - Prob. 16PPSCh. 11.3 - Prob. 17PPSCh. 11.3 - Prob. 18PPSCh. 11.3 - Prob. 19HPCh. 11.3 - Prob. 20HPCh. 11.3 - Prob. 21HPCh. 11.3 - Prob. 22HPCh. 11.3 - Prob. 23HPCh. 11.3 - Prob. 24HPCh. 11.3 - Prob. 25STPCh. 11.3 - Prob. 26STPCh. 11.3 - Prob. 27STPCh. 11.3 - Prob. 28STPCh. 11.3 - Prob. 29SRCh. 11.3 - Prob. 30SRCh. 11.3 - Prob. 31SRCh. 11.3 - Prob. 32SRCh. 11.3 - Prob. 33SRCh. 11.3 - Prob. 34SRCh. 11.3 - Prob. 35SRCh. 11.3 - Prob. 36SRCh. 11.3 - Prob. 37SRCh. 11.3 - Prob. 38SRCh. 11.3 - Prob. 39SRCh. 11.3 - Prob. 40SRCh. 11.3 - Prob. 41SRCh. 11.3 - Prob. 42SCh. 11.3 - Prob. 43SCh. 11.3 - Prob. 44SCh. 11.3 - Prob. 1MCQCh. 11.3 - Prob. 2MCQCh. 11.3 - Prob. 3MCQCh. 11.3 - Prob. 4MCQCh. 11.3 - Prob. 5MCQCh. 11.3 - Prob. 6MCQCh. 11.3 - Prob. 7MCQCh. 11.3 - Prob. 8MCQCh. 11.3 - Prob. 9MCQCh. 11.3 - Prob. 10MCQCh. 11.3 - Prob. 11MCQCh. 11.3 - Prob. 12MCQCh. 11.4 - Prob. 1AGPCh. 11.4 - Prob. 1BGPCh. 11.4 - Prob. 2GPCh. 11.4 - Prob. 3GPCh. 11.4 - Prob. 4GPCh. 11.4 - Prob. 1CYUCh. 11.4 - Prob. 2CYUCh. 11.4 - Prob. 3CYUCh. 11.4 - Prob. 4CYUCh. 11.4 - Prob. 5CYUCh. 11.4 - Prob. 6CYUCh. 11.4 - Prob. 7PPSCh. 11.4 - Prob. 8PPSCh. 11.4 - Prob. 9PPSCh. 11.4 - Prob. 10PPSCh. 11.4 - Prob. 11PPSCh. 11.4 - Prob. 12PPSCh. 11.4 - Prob. 13PPSCh. 11.4 - Prob. 14PPSCh. 11.4 - Prob. 15PPSCh. 11.4 - Prob. 16PPSCh. 11.4 - Prob. 17PPSCh. 11.4 - Prob. 18PPSCh. 11.4 - Prob. 19PPSCh. 11.4 - Prob. 20PPSCh. 11.4 - Prob. 21PPSCh. 11.4 - Prob. 22PPSCh. 11.4 - Prob. 23PPSCh. 11.4 - Prob. 24PPSCh. 11.4 - Prob. 25PPSCh. 11.4 - Prob. 26PPSCh. 11.4 - Prob. 27PPSCh. 11.4 - Prob. 28PPSCh. 11.4 - Prob. 29PPSCh. 11.4 - Prob. 30PPSCh. 11.4 - Prob. 31PPSCh. 11.4 - Prob. 32PPSCh. 11.4 - Prob. 33PPSCh. 11.4 - Prob. 34PPSCh. 11.4 - Prob. 35PPSCh. 11.4 - Prob. 36PPSCh. 11.4 - Prob. 37PPSCh. 11.4 - Prob. 38PPSCh. 11.4 - Prob. 39PPSCh. 11.4 - Prob. 40PPSCh. 11.4 - Prob. 41PPSCh. 11.4 - Prob. 42HPCh. 11.4 - Prob. 43HPCh. 11.4 - Prob. 44HPCh. 11.4 - Prob. 45HPCh. 11.4 - Prob. 46HPCh. 11.4 - Prob. 47STPCh. 11.4 - Prob. 48STPCh. 11.4 - Prob. 49STPCh. 11.4 - Prob. 50STPCh. 11.4 - Prob. 51SRCh. 11.4 - Prob. 52SRCh. 11.4 - Prob. 53SRCh. 11.4 - Prob. 54SRCh. 11.4 - Prob. 55SRCh. 11.4 - Prob. 56SRCh. 11.4 - Prob. 57SRCh. 11.4 - Prob. 58SRCh. 11.4 - Prob. 59SRCh. 11.4 - Prob. 60SRCh. 11.4 - Prob. 61SRCh. 11.4 - Prob. 62SRCh. 11.4 - Prob. 63SRCh. 11.4 - Prob. 64SRCh. 11.4 - Prob. 65SRCh. 11.4 - Prob. 66SRCh. 11.4 - Prob. 67SRCh. 11.4 - Prob. 68SRCh. 11.4 - Prob. 69SRCh. 11.4 - Prob. 70SRCh. 11.4 - Prob. 71SCh. 11.5 - Prob. 1GPCh. 11.5 - Prob. 2GPCh. 11.5 - Prob. 3GPCh. 11.5 - Prob. 4GPCh. 11.5 - Prob. 1CYUCh. 11.5 - Prob. 2CYUCh. 11.5 - Prob. 3CYUCh. 11.5 - Prob. 4CYUCh. 11.5 - Prob. 5CYUCh. 11.5 - Prob. 6CYUCh. 11.5 - Prob. 7CYUCh. 11.5 - Prob. 8CYUCh. 11.5 - Prob. 9PPSCh. 11.5 - Prob. 10PPSCh. 11.5 - Prob. 11PPSCh. 11.5 - Prob. 12PPSCh. 11.5 - Prob. 13PPSCh. 11.5 - Prob. 14PPSCh. 11.5 - Prob. 15PPSCh. 11.5 - Prob. 16PPSCh. 11.5 - Prob. 17PPSCh. 11.5 - Prob. 18PPSCh. 11.5 - Prob. 19PPSCh. 11.5 - Prob. 20PPSCh. 11.5 - Prob. 21HPCh. 11.5 - Prob. 22HPCh. 11.5 - Prob. 23HPCh. 11.5 - Prob. 24HPCh. 11.5 - Prob. 25HPCh. 11.5 - Prob. 26HPCh. 11.5 - Prob. 27STPCh. 11.5 - Prob. 28STPCh. 11.5 - Prob. 29STPCh. 11.5 - Prob. 30STPCh. 11.5 - Prob. 31SRCh. 11.5 - Prob. 32SRCh. 11.5 - Prob. 33SRCh. 11.5 - Prob. 34SRCh. 11.5 - Prob. 35SRCh. 11.5 - Prob. 36SRCh. 11.5 - Prob. 37SRCh. 11.5 - Prob. 38SCh. 11.5 - Prob. 1ECh. 11.5 - Prob. 2ECh. 11.5 - Prob. 3ECh. 11.6 - Prob. 1GPCh. 11.6 - Prob. 2GPCh. 11.6 - Prob. 3AGPCh. 11.6 - Prob. 3BGPCh. 11.6 - Prob. 4GPCh. 11.6 - Prob. 5GPCh. 11.6 - Prob. 1CYUCh. 11.6 - Prob. 2CYUCh. 11.6 - Prob. 3CYUCh. 11.6 - Prob. 4CYUCh. 11.6 - Prob. 5CYUCh. 11.6 - Prob. 6CYUCh. 11.6 - Prob. 7CYUCh. 11.6 - Prob. 8CYUCh. 11.6 - Prob. 9PPSCh. 11.6 - Prob. 10PPSCh. 11.6 - Prob. 11PPSCh. 11.6 - Prob. 12PPSCh. 11.6 - Prob. 13PPSCh. 11.6 - Prob. 14PPSCh. 11.6 - Prob. 15PPSCh. 11.6 - Prob. 16PPSCh. 11.6 - Prob. 17PPSCh. 11.6 - Prob. 18PPSCh. 11.6 - Prob. 19PPSCh. 11.6 - Prob. 20HPCh. 11.6 - Prob. 21HPCh. 11.6 - Prob. 22HPCh. 11.6 - Prob. 23HPCh. 11.6 - Prob. 24HPCh. 11.6 - Prob. 25STPCh. 11.6 - Prob. 26STPCh. 11.6 - Prob. 27STPCh. 11.6 - Prob. 28STPCh. 11.6 - Prob. 29SRCh. 11.6 - Prob. 30SRCh. 11.6 - Prob. 31SRCh. 11.6 - Prob. 32SRCh. 11.6 - Prob. 33SRCh. 11.6 - Prob. 34SRCh. 11.6 - Prob. 35SRCh. 11.6 - Prob. 36SRCh. 11.6 - Prob. 37SRCh. 11.6 - Prob. 38SRCh. 11.6 - Prob. 39SRCh. 11.6 - Prob. 40SCh. 11.6 - Prob. 41SCh. 11.6 - Prob. 42SCh. 11 - Prob. 1QCCh. 11 - Prob. 2QCCh. 11 - Prob. 3QCCh. 11 - Prob. 4QCCh. 11 - Prob. 5QCCh. 11 - Prob. 6QCCh. 11 - Prob. 7QCCh. 11 - Prob. 8QCCh. 11 - Prob. 9QCCh. 11 - Prob. 10QCCh. 11 - Prob. 11QCCh. 11 - Prob. 12QCCh. 11 - Prob. 13QCCh. 11 - Prob. 14QCCh. 11 - Prob. 1SGRCh. 11 - Prob. 2SGRCh. 11 - Prob. 3SGRCh. 11 - Prob. 4SGRCh. 11 - Prob. 5SGRCh. 11 - Prob. 6SGRCh. 11 - Prob. 7SGRCh. 11 - Prob. 8SGRCh. 11 - Prob. 9SGRCh. 11 - Prob. 10SGRCh. 11 - Prob. 11SGRCh. 11 - Prob. 12SGRCh. 11 - Prob. 13SGRCh. 11 - Prob. 14SGRCh. 11 - Prob. 15SGRCh. 11 - Prob. 16SGRCh. 11 - Prob. 17SGRCh. 11 - Prob. 18SGRCh. 11 - Prob. 19SGRCh. 11 - Prob. 20SGRCh. 11 - Prob. 21SGRCh. 11 - Prob. 22SGRCh. 11 - Prob. 23SGRCh. 11 - Prob. 24SGRCh. 11 - Prob. 25SGRCh. 11 - Prob. 26SGRCh. 11 - Prob. 1PTCh. 11 - Prob. 2PTCh. 11 - Prob. 3PTCh. 11 - Prob. 4PTCh. 11 - Prob. 5PTCh. 11 - Prob. 6PTCh. 11 - Prob. 7PTCh. 11 - Prob. 8PTCh. 11 - Prob. 9PTCh. 11 - Prob. 10PTCh. 11 - Prob. 11PTCh. 11 - Prob. 12PTCh. 11 - Prob. 13PTCh. 11 - Prob. 14PTCh. 11 - Prob. 15PTCh. 11 - Prob. 16PTCh. 11 - Prob. 1ECh. 11 - Prob. 2ECh. 11 - Prob. 1STPCh. 11 - Prob. 2STPCh. 11 - Prob. 3STPCh. 11 - Prob. 4STPCh. 11 - Prob. 5STPCh. 11 - Prob. 6STPCh. 11 - Prob. 7STPCh. 11 - Prob. 8STPCh. 11 - Prob. 9STPCh. 11 - Prob. 10STPCh. 11 - Prob. 11STPCh. 11 - Prob. 12STPCh. 11 - Prob. 13STPCh. 11 - Prob. 14STPCh. 11 - Prob. 15STPCh. 11 - Prob. 16STP
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