Geometry, Student Edition
Geometry, Student Edition
1st Edition
ISBN: 9780078884849
Author: McGraw-Hill, McGraw Hill
Publisher: Glencoe/McGraw-Hill School Pub Co
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Concept explainers

Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known …
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosi…
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the prob…
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Question
Book Icon
Chapter 13.5, Problem 21PPS

(a)

To determine

Draw a probability tree that shows each outcome.

(a)

Expert Solution
Check Mark

Explanation of Solution

Given:

A double fault in tennis is when the serving player fails to land their serve “in” without stepping on or over the serving line in two chances.K’s first serve percentange is 40% , while her second serve percentage is 70%.

Calculation:

The probability tree is :

Geometry, Student Edition, Chapter 13.5, Problem 21PPS

(b)

To determine

Find the probability that K will double fault.

(b)

Expert Solution
Check Mark

Answer to Problem 21PPS

0.18 or 18%

Explanation of Solution

Given:

A double fault in tennis is when the serving player fails to land their serve “in” without stepping on or over the serving line in two chances.K’s first serve percentange is 40% , while her second serve percentage is 70%.

Calculation:

The double fault is back to back faults , and given probabilities of serves in 1st and 2nd serving are 0.4 and 0.7 respectively.

So, the probabilities of faults in 1st and 2nd serving are (1-0.4 =) 0.6 and (1-0.7 = ) 0.3 .

Hence the probability that K will double fault = P(F,F) = 0.6×0.3=0.18

(c)

To determine

Design a simulation using a random number generator that can be used to estimate the probability that K double faults on her next serve.

(c)

Expert Solution
Check Mark

Explanation of Solution

Given:

A double fault in tennis is when the serving player fails to land their serve “in” without stepping on or over the serving line in two chances.K’s first serve percentange is 40% , while her second serve percentage is 70%.

Calculation:

Step 1 :

From part (a),

    Possible Outcomes (2 serving)Theoritical Probability
    Serve 0.4
    Fault,Serve0.42
    Fault, Fault0.18

Step 2:

Assume that the servings will fall into these three categories.

Step 3:

Use a random number generator on your calculator.Use the ten integers 0-9 to accurately represent the probability data.The actual numbers used to represent the outcome does not matter.

    Possible Outcomes (2 serving)Represented By
    Serve 0,1,2,3
    Fault,Serve4,5,6,7,8
    Fault, Fault (double fault)9

Step 4:

A trial means two servings and recording the serve or fault. The simulation will consist of 20 trials.

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Chapter 13.5, Problem 20PPS
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Chapter 13.5, Problem 22PPS

Chapter 13 Solutions

Geometry, Student Edition

Ch. 13.1 - Prob. 1CYPCh. 13.1 - Prob. 2CYPCh. 13.1 - Prob. 3CYPCh. 13.1 - Prob. 1CYUCh. 13.1 - Prob. 2CYUCh. 13.1 - Prob. 3CYUCh. 13.1 - Prob. 4CYUCh. 13.1 - Prob. 5CYUCh. 13.1 - Prob. 6PPSCh. 13.1 - Prob. 7PPS
Ch. 13.1 - Prob. 8PPSCh. 13.1 - Prob. 9PPSCh. 13.1 - Prob. 10PPSCh. 13.1 - Prob. 11PPSCh. 13.1 - Prob. 12PPSCh. 13.1 - Prob. 13PPSCh. 13.1 - Prob. 14PPSCh. 13.1 - Prob. 15PPSCh. 13.1 - Prob. 16PPSCh. 13.1 - Prob. 17PPSCh. 13.1 - Prob. 18PPSCh. 13.1 - Prob. 19PPSCh. 13.1 - Prob. 20PPSCh. 13.1 - Prob. 21PPSCh. 13.1 - Prob. 22PPSCh. 13.1 - Prob. 23PPSCh. 13.1 - Prob. 24PPSCh. 13.1 - Prob. 25HPCh. 13.1 - Prob. 26HPCh. 13.1 - Prob. 27HPCh. 13.1 - Prob. 28HPCh. 13.1 - Prob. 29HPCh. 13.1 - Prob. 30HPCh. 13.1 - Prob. 31STPCh. 13.1 - Prob. 32STPCh. 13.1 - Prob. 33STPCh. 13.1 - Prob. 34STPCh. 13.1 - Prob. 35SPRCh. 13.1 - Prob. 36SPRCh. 13.1 - Prob. 37SPRCh. 13.1 - Prob. 38SPRCh. 13.1 - Prob. 39SPRCh. 13.1 - Prob. 40SPRCh. 13.1 - Prob. 41SPRCh. 13.1 - Prob. 42SPRCh. 13.1 - Prob. 43SPRCh. 13.1 - Prob. 44SPRCh. 13.1 - Prob. 45SRCh. 13.1 - Prob. 46SRCh. 13.1 - Prob. 47SRCh. 13.1 - Prob. 48SRCh. 13.1 - Prob. 49SRCh. 13.2 - Prob. 1CYPCh. 13.2 - Prob. 2CYPCh. 13.2 - Prob. 3CYPCh. 13.2 - Prob. 4CYPCh. 13.2 - Prob. 5CYPCh. 13.2 - Prob. 1CYUCh. 13.2 - Prob. 2CYUCh. 13.2 - Prob. 3CYUCh. 13.2 - Prob. 4CYUCh. 13.2 - Prob. 5CYUCh. 13.2 - Prob. 6PPSCh. 13.2 - Prob. 7PPSCh. 13.2 - Prob. 8PPSCh. 13.2 - Prob. 9PPSCh. 13.2 - Prob. 10PPSCh. 13.2 - Prob. 11PPSCh. 13.2 - Prob. 12PPSCh. 13.2 - Prob. 13PPSCh. 13.2 - Prob. 14PPSCh. 13.2 - Prob. 15PPSCh. 13.2 - Prob. 16PPSCh. 13.2 - Prob. 17PPSCh. 13.2 - Prob. 18PPSCh. 13.2 - Prob. 19PPSCh. 13.2 - Prob. 20PPSCh. 13.2 - Prob. 21PPSCh. 13.2 - Prob. 22PPSCh. 13.2 - Prob. 23HPCh. 13.2 - Prob. 24HPCh. 13.2 - Prob. 25HPCh. 13.2 - Prob. 26HPCh. 13.2 - Prob. 27HPCh. 13.2 - Prob. 28HPCh. 13.2 - Prob. 29STPCh. 13.2 - Prob. 30STPCh. 13.2 - Prob. 31STPCh. 13.2 - Prob. 32STPCh. 13.2 - Prob. 33SPRCh. 13.2 - Prob. 34SPRCh. 13.2 - Prob. 35SPRCh. 13.2 - Prob. 36SPRCh. 13.2 - Prob. 37SPRCh. 13.2 - Prob. 38SPRCh. 13.2 - Prob. 39SRCh. 13.2 - Prob. 40SRCh. 13.2 - Prob. 41SRCh. 13.2 - Prob. 42SRCh. 13.2 - Prob. 43SRCh. 13.2 - Prob. 44SRCh. 13.3 - Prob. 1ACYPCh. 13.3 - Prob. 1BCYPCh. 13.3 - Prob. 2CYPCh. 13.3 - Prob. 3CYPCh. 13.3 - Prob. 4ACYPCh. 13.3 - Prob. 4BCYPCh. 13.3 - Prob. 1CYUCh. 13.3 - Prob. 2CYUCh. 13.3 - Prob. 3CYUCh. 13.3 - Prob. 4CYUCh. 13.3 - Prob. 5CYUCh. 13.3 - Prob. 6PPSCh. 13.3 - Prob. 7PPSCh. 13.3 - Prob. 8PPSCh. 13.3 - Prob. 9PPSCh. 13.3 - Prob. 10PPSCh. 13.3 - Prob. 11PPSCh. 13.3 - Prob. 12PPSCh. 13.3 - Prob. 13PPSCh. 13.3 - Prob. 14PPSCh. 13.3 - Prob. 15PPSCh. 13.3 - Prob. 16PPSCh. 13.3 - Prob. 17PPSCh. 13.3 - Prob. 18PPSCh. 13.3 - Prob. 19PPSCh. 13.3 - Prob. 20PPSCh. 13.3 - Prob. 21PPSCh. 13.3 - Prob. 22PPSCh. 13.3 - Prob. 23PPSCh. 13.3 - Prob. 24PPSCh. 13.3 - Prob. 25PPSCh. 13.3 - Prob. 26PPSCh. 13.3 - Prob. 27PPSCh. 13.3 - Prob. 28PPSCh. 13.3 - Prob. 29PPSCh. 13.3 - Prob. 30PPSCh. 13.3 - Prob. 31PPSCh. 13.3 - Prob. 32PPSCh. 13.3 - Prob. 33PPSCh. 13.3 - Prob. 34HPCh. 13.3 - Prob. 35HPCh. 13.3 - Prob. 36HPCh. 13.3 - Prob. 37HPCh. 13.3 - Prob. 38HPCh. 13.3 - Prob. 39HPCh. 13.3 - Prob. 40STPCh. 13.3 - Prob. 41STPCh. 13.3 - Prob. 42STPCh. 13.3 - Prob. 43STPCh. 13.3 - Prob. 44SPRCh. 13.3 - Prob. 45SPRCh. 13.3 - Prob. 46SPRCh. 13.3 - Prob. 47SPRCh. 13.3 - Prob. 48SPRCh. 13.3 - Prob. 49SPRCh. 13.3 - Prob. 50SPRCh. 13.3 - Prob. 51SRCh. 13.3 - Prob. 52SRCh. 13.3 - Prob. 53SRCh. 13.4 - Prob. 1CYPCh. 13.4 - Prob. 2CYPCh. 13.4 - Prob. 3CYPCh. 13.4 - Prob. 4CYPCh. 13.4 - Prob. 1CYUCh. 13.4 - Prob. 2CYUCh. 13.4 - Prob. 3CYUCh. 13.4 - Prob. 4PPSCh. 13.4 - Prob. 5PPSCh. 13.4 - Prob. 6PPSCh. 13.4 - Prob. 7PPSCh. 13.4 - Prob. 8PPSCh. 13.4 - Prob. 9PPSCh. 13.4 - Prob. 10PPSCh. 13.4 - Prob. 11PPSCh. 13.4 - Prob. 12PPSCh. 13.4 - Prob. 13PPSCh. 13.4 - Prob. 14PPSCh. 13.4 - Prob. 15PPSCh. 13.4 - Prob. 16PPSCh. 13.4 - Prob. 17PPSCh. 13.4 - Prob. 18PPSCh. 13.4 - Prob. 19PPSCh. 13.4 - Prob. 20HPCh. 13.4 - Prob. 21HPCh. 13.4 - Prob. 22HPCh. 13.4 - Prob. 23HPCh. 13.4 - Prob. 24HPCh. 13.4 - Prob. 25HPCh. 13.4 - Prob. 26STPCh. 13.4 - Prob. 27STPCh. 13.4 - Prob. 28STPCh. 13.4 - Prob. 29STPCh. 13.4 - Prob. 30SPRCh. 13.4 - Prob. 31SPRCh. 13.4 - Prob. 32SPRCh. 13.4 - Prob. 33SPRCh. 13.4 - Prob. 34SPRCh. 13.4 - Prob. 35SPRCh. 13.4 - Prob. 36SRCh. 13.5 - Prob. 1ACYPCh. 13.5 - Prob. 1BCYPCh. 13.5 - Prob. 2ACYPCh. 13.5 - Prob. 2BCYPCh. 13.5 - Prob. 3CYPCh. 13.5 - Prob. 4CYPCh. 13.5 - Prob. 1CYUCh. 13.5 - Prob. 2CYUCh. 13.5 - Prob. 3CYUCh. 13.5 - Prob. 4CYUCh. 13.5 - Prob. 5CYUCh. 13.5 - Prob. 6PPSCh. 13.5 - Prob. 7PPSCh. 13.5 - Prob. 8PPSCh. 13.5 - Prob. 9PPSCh. 13.5 - Prob. 10PPSCh. 13.5 - Prob. 11PPSCh. 13.5 - Prob. 12PPSCh. 13.5 - Prob. 13PPSCh. 13.5 - Prob. 14PPSCh. 13.5 - Prob. 15PPSCh. 13.5 - Prob. 16PPSCh. 13.5 - Prob. 17PPSCh. 13.5 - Prob. 18PPSCh. 13.5 - Prob. 19PPSCh. 13.5 - Prob. 20PPSCh. 13.5 - Prob. 21PPSCh. 13.5 - Prob. 22PPSCh. 13.5 - Prob. 23HPCh. 13.5 - Prob. 24HPCh. 13.5 - Prob. 25HPCh. 13.5 - Prob. 26HPCh. 13.5 - Prob. 27HPCh. 13.5 - Prob. 28STPCh. 13.5 - Prob. 29STPCh. 13.5 - Prob. 30STPCh. 13.5 - Prob. 31STPCh. 13.5 - Prob. 32SPRCh. 13.5 - Prob. 33SPRCh. 13.5 - Prob. 34SPRCh. 13.5 - Prob. 35SPRCh. 13.5 - Prob. 36SPRCh. 13.5 - Prob. 37SPRCh. 13.5 - Prob. 38SPRCh. 13.5 - Prob. 39SPRCh. 13.5 - Prob. 40SRCh. 13.5 - Prob. 41SRCh. 13.5 - Prob. 42SRCh. 13.5 - Prob. 43SRCh. 13.6 - Prob. 1ACYPCh. 13.6 - Prob. 1BCYPCh. 13.6 - Prob. 1CCYPCh. 13.6 - Prob. 2ACYPCh. 13.6 - Prob. 2BCYPCh. 13.6 - Prob. 3CYPCh. 13.6 - Prob. 4CYPCh. 13.6 - Prob. 5CYPCh. 13.6 - Prob. 1CYUCh. 13.6 - Prob. 2CYUCh. 13.6 - Prob. 3CYUCh. 13.6 - Prob. 4CYUCh. 13.6 - Prob. 5CYUCh. 13.6 - Prob. 6CYUCh. 13.6 - Prob. 7CYUCh. 13.6 - Prob. 8PPSCh. 13.6 - Prob. 9PPSCh. 13.6 - Prob. 10PPSCh. 13.6 - Prob. 11PPSCh. 13.6 - Prob. 12PPSCh. 13.6 - Prob. 13PPSCh. 13.6 - Prob. 14PPSCh. 13.6 - Prob. 15PPSCh. 13.6 - Prob. 16PPSCh. 13.6 - Prob. 17PPSCh. 13.6 - Prob. 18PPSCh. 13.6 - Prob. 19PPSCh. 13.6 - Prob. 20PPSCh. 13.6 - Prob. 21PPSCh. 13.6 - Prob. 22PPSCh. 13.6 - Prob. 23PPSCh. 13.6 - Prob. 24PPSCh. 13.6 - Prob. 25PPSCh. 13.6 - Prob. 26PPSCh. 13.6 - Prob. 27PPSCh. 13.6 - Prob. 28HPCh. 13.6 - Prob. 29HPCh. 13.6 - Prob. 30HPCh. 13.6 - Prob. 31HPCh. 13.6 - Prob. 32HPCh. 13.6 - Prob. 33HPCh. 13.6 - Prob. 34HPCh. 13.6 - Prob. 35STPCh. 13.6 - Prob. 36STPCh. 13.6 - Prob. 37STPCh. 13.6 - Prob. 38STPCh. 13.6 - Prob. 39SPRCh. 13.6 - Prob. 40SPRCh. 13.6 - Prob. 41SPRCh. 13.6 - Prob. 42SPRCh. 13.6 - Prob. 43SPRCh. 13.6 - Prob. 44SPRCh. 13 - Prob. 1GRFCCh. 13 - Prob. 2GRFCCh. 13 - Prob. 3GRFCCh. 13 - Prob. 4GRFCCh. 13 - Prob. 5GRFCCh. 13 - Prob. 6GRFCCh. 13 - Prob. 7GRFCCh. 13 - Prob. 8GRFCCh. 13 - Prob. 9GRFCCh. 13 - Prob. 10GRFCCh. 13 - Prob. 11GRFCCh. 13 - Prob. 12GRFCCh. 13 - Prob. 13GRFCCh. 13 - Prob. 14GRFCCh. 13 - Prob. 15GRFCCh. 13 - Prob. 1MCQCh. 13 - Prob. 2MCQCh. 13 - Prob. 3MCQCh. 13 - Prob. 4MCQCh. 13 - Prob. 5MCQCh. 13 - Prob. 6MCQCh. 13 - Prob. 7MCQCh. 13 - Prob. 8MCQCh. 13 - Prob. 9MCQCh. 13 - Prob. 10MCQCh. 13 - Prob. 11MCQCh. 13 - Prob. 12MCQCh. 13 - Prob. 13MCQCh. 13 - Prob. 14MCQCh. 13 - Prob. 15MCQCh. 13 - Prob. 16MCQCh. 13 - Prob. 1SGRCh. 13 - Prob. 2SGRCh. 13 - Prob. 3SGRCh. 13 - Prob. 4SGRCh. 13 - Prob. 5SGRCh. 13 - Prob. 6SGRCh. 13 - Prob. 7SGRCh. 13 - Prob. 8SGRCh. 13 - Prob. 9SGRCh. 13 - Prob. 10SGRCh. 13 - Prob. 11SGRCh. 13 - Prob. 12SGRCh. 13 - Prob. 13SGRCh. 13 - Prob. 14SGRCh. 13 - Prob. 15SGRCh. 13 - Prob. 16SGRCh. 13 - Prob. 17SGRCh. 13 - Prob. 18SGRCh. 13 - Prob. 19SGRCh. 13 - Prob. 20SGRCh. 13 - Prob. 21SGRCh. 13 - Prob. 22SGRCh. 13 - Prob. 23SGRCh. 13 - Prob. 24SGRCh. 13 - Prob. 25SGRCh. 13 - Prob. 26SGRCh. 13 - Prob. 1PTCh. 13 - Prob. 2PTCh. 13 - Prob. 3PTCh. 13 - Prob. 4PTCh. 13 - Prob. 5PTCh. 13 - Prob. 6PTCh. 13 - Prob. 7PTCh. 13 - Prob. 8PTCh. 13 - Prob. 9PTCh. 13 - Prob. 10PTCh. 13 - Prob. 11PTCh. 13 - Prob. 12PTCh. 13 - Prob. 13PTCh. 13 - Prob. 14PTCh. 13 - Prob. 15PTCh. 13 - Prob. 16PTCh. 13 - Prob. 17PTCh. 13 - Prob. 18PTCh. 13 - Prob. 19PTCh. 13 - Prob. 20PTCh. 13 - Prob. 21PTCh. 13 - Prob. 1ECh. 13 - Prob. 2ECh. 13 - Prob. 3ECh. 13 - Prob. 4ECh. 13 - Prob. 1STPCh. 13 - Prob. 2STPCh. 13 - Prob. 3STPCh. 13 - Prob. 4STPCh. 13 - Prob. 5STPCh. 13 - Prob. 6STPCh. 13 - Prob. 7STPCh. 13 - Prob. 8STPCh. 13 - Prob. 9STPCh. 13 - Prob. 10STPCh. 13 - Prob. 11STPCh. 13 - Prob. 12STPCh. 13 - Prob. 13STP

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