A bag of peanuts in their shells contains 178 peanuts. 71 of the shells contain one peanut, 102 of the shells contain two peanuts, and the rest contain three peanuts. Of the shells with one peanut, 17 of them are cracked. Of the shells with two peanuts, 27 of them are cracked. None of the shells with three peanuts are cracked. One peanut shell is randomly selected from the bag. What is the probability the shell is cracked? What is the probability the shell is not cracked and it contains two peanuts? What is the probability the shell is not cracked or it contains two peanuts? What is the probability the shell is not cracked given that it contains two peanuts?

A bag of peanuts in their shells contains 178 peanuts. 71 of the shells contain one peanut, 102 of the shells contain two peanuts, and the rest contain three peanuts. Of the shells with one peanut, 17 of them are cracked. Of the shells with two peanuts, 27 of them are cracked. None of the shells with three peanuts are cracked. One peanut shell is randomly selected from the bag. What is the probability the shell is cracked? What is the probability the shell is not cracked and it contains two peanuts? What is the probability the shell is not cracked or it contains two peanuts? What is the probability the shell is not cracked given that it contains two peanuts?

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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