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A probability experiment is conducted

Chapter 4, Problem 6AYU

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QUESTION:

Problem 6AYU

A probability experiment is conducted in which the sample space of the experiment is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Let event E = {2, 3, 4, 5, 6, 7}, event F = {5, 6, 7, 8, 9}, event G = {9, 10, 11, 12}, and event H = {2, 3, 4}. Assume that each outcome is equally likely.

List the outcomes in F and G. Are F and G mutually exclusive?

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QUESTION:

Problem 6AYU

A probability experiment is conducted in which the sample space of the experiment is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Let event E = {2, 3, 4, 5, 6, 7}, event F = {5, 6, 7, 8, 9}, event G = {9, 10, 11, 12}, and event H = {2, 3, 4}. Assume that each outcome is equally likely.

List the outcomes in F and G. Are F and G mutually exclusive?

ANSWER:

Answer :

Step 1 :

Given, sample  space of experiment S = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12), event E = (2, 3, 4, 5,

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