(a) How many outcomes are there? Ooutcome(s) (b) How many outcomes have Bob or Jim being chosen? O outcome(s) (c) How many outcomes have both Maria and Jessica being chosen? Ooutcome(s)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Question
A class is choosing a president, a vice president, and a treasurer.
There are two students running for president: Linda and Maria.
There are three students running for vice president: Bob, John, and Jim.
There are two students running for treasurer: Jessica and Amanda.
The tree diagram below shows the possible outcomes. Use the diagram to answer the questions.
President Vice President
Treasurer
Outcome
(Linda, Bob, Jessica)
(Linda, Bob, Amanda)
(Linda, John, Jessica)
(Linda, John, Amanda)
(Linda, Jim, Jessica)
(Linda, Jim, Amanda)
(Maria, Bob, Jessica)
(Maria, Bob, Amanda)
(Maria, John, Jessica)
(Maria, John, Amanda)
(Maria, Jim, Jessica)
(Maria, Jim, Amanda)
Jessica
Bob
Amanda
Jessica
Linda
John
Amanda
Jessica
Jim
Amanda
Jessica
Bob
Amanda
Jessica
Maria
John
Amanda
Jessica
Jim
Amanda
(a) How many outcomes are there?
O outcome(s)
(b) How many outcomes have Bob or Jim being chosen?
Noutcome(s)
(c) How many outcomes have both Maria and Jessica being chosen?
O outcome(s)
Transcribed Image Text:A class is choosing a president, a vice president, and a treasurer. There are two students running for president: Linda and Maria. There are three students running for vice president: Bob, John, and Jim. There are two students running for treasurer: Jessica and Amanda. The tree diagram below shows the possible outcomes. Use the diagram to answer the questions. President Vice President Treasurer Outcome (Linda, Bob, Jessica) (Linda, Bob, Amanda) (Linda, John, Jessica) (Linda, John, Amanda) (Linda, Jim, Jessica) (Linda, Jim, Amanda) (Maria, Bob, Jessica) (Maria, Bob, Amanda) (Maria, John, Jessica) (Maria, John, Amanda) (Maria, Jim, Jessica) (Maria, Jim, Amanda) Jessica Bob Amanda Jessica Linda John Amanda Jessica Jim Amanda Jessica Bob Amanda Jessica Maria John Amanda Jessica Jim Amanda (a) How many outcomes are there? O outcome(s) (b) How many outcomes have Bob or Jim being chosen? Noutcome(s) (c) How many outcomes have both Maria and Jessica being chosen? O outcome(s)
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