Carla is trying to pass a competency exam. Each time she takes the exam she has a 30% chance of passing, and she is allowed a maximum of two attempts. Draw a tree diagram to represent her attempts to pass the exam. Answer the following questions. (a) How many outcomes does your tree show? (b) What is the probability she will eventually pass the exam? (c) What is the probability she will take the exam twice?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Carla is trying to pass a competency exam. Each time she takes the exam she has a 30% chance of passing, and she is allowed a maximum of two attempts.
Draw a tree diagram to represent her attempts to pass the exam. Answer the following questions.
(a) How many outcomes does your tree show?
(b) What is the probability she will eventually pass the exam?
(c) What is the probability she will take the exam twice?
Transcribed Image Text:Carla is trying to pass a competency exam. Each time she takes the exam she has a 30% chance of passing, and she is allowed a maximum of two attempts. Draw a tree diagram to represent her attempts to pass the exam. Answer the following questions. (a) How many outcomes does your tree show? (b) What is the probability she will eventually pass the exam? (c) What is the probability she will take the exam twice?
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