Peter went shopping for dinner. The vendor “accidentally” mixed all the chicken and duck eggs. Suppose that it is known that the probability of getting a chicken egg is 12/29, that of a fresh egg is 15/29, and that of a fresh chicken egg is 8/29. If Peter will select an egg at random, what is the probability that she will get: a. a fresh egg given that it is a chicken egg? b. a chicken egg given that it is not fresh?

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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  1. Peter went shopping for dinner. The vendor “accidentally” mixed all the chicken and duck eggs. Suppose that it is known that the probability of getting a chicken egg is 12/29, that of a fresh egg is 15/29, and that of a fresh chicken egg is 8/29. If Peter will select an egg at random, what is the probability that she will get:

a. a fresh egg given that it is a chicken egg?

b. a chicken egg given that it is not fresh?

2. 

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