You buy a box of chocolates for Valentine's Day. There are 9 chocolates in the box. The store has 3 kinds of chocolates available (milk, dark, and white chocolate) in unlimited amounts. You decide to get a random assortment of chocolates. (a) How many random assortments are possible? You do not care how the chocolates are
You buy a box of chocolates for Valentine's Day. There are 9 chocolates in the box. The store has 3 kinds of chocolates available (milk, dark, and white chocolate) in unlimited amounts. You decide to get a random assortment of chocolates. (a) How many random assortments are possible? You do not care how the chocolates are
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 4T: Over the past year, John has purchased 30 books. In how many ways can he pick four of these books...
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Transcribed Image Text:5. You buy a box of chocolates for Valentine's Day. There are 9 chocolates in the box. The store
has 3 kinds of chocolates available (milk, dark, and white chocolate) in unlimited amounts.
You decide to get a random assortment of chocolates.
(a) How many random assortments are possible? You do not care how the chocolates are
arranged in the box-you only care about the number of chocolates of each kind.
(b) If "random assortment of chocolates" means that each chocolate is (independently)
equally likely to be any of the three kinds, what is the probability that you get 3 choco-
lates of each kind in the box?
Expert Solution
Step 1
From the given information,
There are 9 chocolates in the box.
The store has 3 kinds of chocolates available(milk, dark and white chocolate) in unlimited amounts.
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