Each box of your favorite cereal has one of five decoder rings inside. You like only one of the rings and would like to have one for each finger on one hand.  a) What is the probability that if you buy six boxes of cereal, you will get at least four of your favorite ring? b) How many boxes do you need to buy to have a probability of more than 80% of getting at least four of your favorite rings? c) How many boxes would you have to buy to have an expected value of four of your favorite ring

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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Each box of your favorite cereal has one of five decoder rings inside. You like only one of the rings and would like to have one for each finger on one hand. 

a) What is the probability that if you buy six boxes of cereal, you will get at least four of your favorite ring?

b) How many boxes do you need to buy to have a probability of more than 80% of getting at least four of your favorite rings?

c) How many boxes would you have to buy to have an expected value of four of your favorite ring?

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