4. A computer execute n independent actions. Each action returns only one of the two possible results: 0,1. It is known that there is an action that returns each of the results with the same probability, that is, with probability half it returns the result 1 and with probability half it returns the result 0. Calculate the probability that the number of actions that returns the result 0 is even. Hint: condition on the result of the action that returns each of the results with the same probability.

4. A computer execute n independent actions. Each action returns only one of the two possible results: 0,1. It is known that there is an action that returns each of the results with the same probability, that is, with probability half it returns the result 1 and with probability half it returns the result 0. Calculate the probability that the number of actions that returns the result 0 is even. Hint: condition on the result of the action that returns each of the results with the same probability.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.7: Introduction To Coding Theory (optional)

Problem 7E

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