5. You buy a box of chocolates for Valentine's Day. There are 9 chocolates in the box. The storehas 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 arearranged 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?

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

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...

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Question

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

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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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