
Concept explainers
To calculate:
The probability of given event.

Answer to Problem 10PPS
The probability that a travel agency client chooses the destinationis
for
is
for
is
for
is
and for
is
Explanation of Solution
Given information:
Event:
According to a survey done by a travel agency of their clients went on vacation to Europe,
went to Asia,
went to south America
went to Africa and
went to Australia.
Calculation:
The following table represents the percentage of travel agency destination:
Best Hits | Percentage of Tickets |
Europe | ![]() |
Asia | ![]() |
South America | ![]() |
Africa | ![]() |
Australia | ![]() |
To simulate travel agency choices for each destination, use a random number generator to generate integers from
Generate integers, and let the integers from
represent the
let integers
represent
Now let integers represent
hit and let
represent
and let
represent
Record the frequency of observed outcomes. The frequency of observed outcomes. The frequency of outcomes will vary between sets of integers.
One such set of spins can be recorded in a frequency table as follows:
Outcome | Frequency |
![]() | ![]() |
![]() | ![]() |
![]() | ![]() |
![]() | ![]() |
![]() | ![]() |
Total | ![]() |
Now, divide each frequency in the frequency table to get the probabilities for each outcome.
Outcome | Frequency | Probability |
![]() | ![]() | ![]() |
![]() | ![]() | ![]() |
![]() | ![]() | ![]() |
![]() | ![]() | ![]() |
![]() | ![]() | ![]() |
Total | ![]() | ![]() |
Make a probability histogram by charting probability on the vertical axis and outcomes on the horizontal axis.
Therefore, based on the simulation, the probability that a travel agency client chooses the destinationis
for
is
for
is
for
is
and for
is
Chapter 13 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
A First Course in Probability (10th Edition)
College Algebra with Modeling & Visualization (5th Edition)
Pre-Algebra Student Edition
Introductory Statistics
University Calculus: Early Transcendentals (4th Edition)
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