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A probability experiment is conducted
Chapter 4, Problem 7AYU(choose chapter or problem)
Problem 7AYU
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 or G. Now find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the General Addition Rule.
Questions & Answers
QUESTION:
Problem 7AYU
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 or G. Now find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the General Addition Rule.
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, 6, 7), event F = (5, 6, 7, 8, 9), event G = (9, 10, 11, 12) and event H = (2, 3, 4).
We have to assume that each outcome is equally likely.
The outcomes in F and G is