4. Art works as a clown on weekends. He has 3 different colored shirts: yellow, green, and red. He has 4 different pants: yellow, purple, orange, and green. a. List all possible combinations of a shirt and pants. b. Art chooses a shirt and pants at random. What is the probability that it is a yellow shirt with orange pants? c. What is the probability that at least 1 item will be yellow? d. What is the probability he chooses purple pants? e. What is the probability that the shirt and pants are dif- ferent colors?

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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4. Art works as a clown on weekends. He has 3 different
colored shirts: yellow, green, and red. He has 4 different
pants: yellow, purple, orange, and green.
a. List all possible combinations of a shirt and pants.
b. Art chooses a shirt and pants at random. What is
the probability that it is a yellow shirt with orange
pants?
c. What is the probability that at least 1 item will be
yellow?
d. What is the probability he chooses purple pants?
e. What is the probability that the shirt and pants are dif-
ferent colors?
Transcribed Image Text:4. Art works as a clown on weekends. He has 3 different colored shirts: yellow, green, and red. He has 4 different pants: yellow, purple, orange, and green. a. List all possible combinations of a shirt and pants. b. Art chooses a shirt and pants at random. What is the probability that it is a yellow shirt with orange pants? c. What is the probability that at least 1 item will be yellow? d. What is the probability he chooses purple pants? e. What is the probability that the shirt and pants are dif- ferent colors?
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