A class is choosing a president, a vice president, and a treasurer.
There are two students running for president: Linda and Maria.
There are two students running for vice president: Bob and John.
There are three students running for treasurer: Amanda, Jessica, and Debra.
The tree diagram below shows the possible outcomes. Use the diagram to answer the questions.
President
Vice President
Treasurer
Outcome
Linda
Bob
Amanda
(Linda, Bob, Amanda)
Jessica
(Linda, Bob, Jessica)
Debra
(Linda, Bob, Debra)
John
Amanda
(Linda, John, Amanda)
Jessica
(Linda, John, Jessica)
Debra
(Linda, John, Debra)
Maria
Bob
Amanda
(Maria, Bob, Amanda)
Jessica
(Maria, Bob, Jessica)
Debra
(Maria, Bob, Debra)
John
Amanda
(Maria, John, Amanda)
Jessica
(Maria, John, Jessica)
Debra
(Maria, John, Debra)
(a) How many outcomes are there?
outcome(s)
(b) How many outcomes have both Maria and John being chosen?
outcome(s)
(c) How many outcomes do not have Debra being chosen?
outcome(s)