2. A small boutique clothing store does not have a lot of products; however, the quality of clothing is superior to their department store counterpart. The boutique clothing store has five different colored pants: blue, brown, black, gray, and khaki; six different colored shirts: pink, yellow, red, blue, violet, and green; and three different types of shoes: loafer, oxford, and boot. Part A: How many combinations of clothing and shoes are available? Part B: What is the probability that a customer buys khaki pants?
2. A small boutique clothing store does not have a lot of products; however, the quality of clothing is superior to their department store counterpart. The boutique clothing store has five different colored pants: blue, brown, black, gray, and khaki; six different colored shirts: pink, yellow, red, blue, violet, and green; and three different types of shoes: loafer, oxford, and boot. Part A: How many combinations of clothing and shoes are available? Part B: What is the probability that a customer buys khaki pants?
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 2CT: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and a drink....
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Concept explainers
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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Question
Transcribed Image Text:2. A small boutique clothing store does not have a lot of products; however,
the quality of clothing is superior to their department store counterpart.
The boutique clothing store has five different colored pants: blue, brown,
black, gray, and khaki; six different colored shirts: pink, yellow, red, blue,
violet, and green; and three different types of shoes: loafer, oxford, and
boot.
Part A: How many combinations of clothing and shoes are available?
Part B: What is the probability that a customer buys khaki pants?
171
Transcribed Image Text:Part C: What is the probability that a customer buys a pair of boots
with blue pants?
Part D: What is the probability that a customer buys brown pants, a yellow
shirt, and an oxford shoe?
Part E: What is the probability that a customer buys brown pants, a yellow
shirt, OR an oxford shoe?
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