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If a die is rolled, (a) what is the probability of obtaining an even number or a number greater than four? (b) what the probability of obtaining an even number and a number greater than four?

If a die is rolled, (a) what is the probability of obtaining an even number or a number greater than four? (b) what the probability of obtaining an even number and a number greater than four?

A First Course in Probability (10th Edition)
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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D B) P(A) (B) The Addition Rule If A and B are defined on a sample space, then: P(A OR B) = P(A) + P(B) – P(A AND B) If A and B are mutually exclusive, then P(A AND B) = 0 Then P(A OR B) = P(A) + P(B) – P(A AND B) becomes P(A OR B) = P(A)+ P(B). %3D Example 3 If a die is rolled, (a) what is the probability of obtaining an even number or a number greater than four? (b) what is the probability of obtaining an even number and a number greater than four? plution: Let E be the event that the number shown on the die is an even number, and let F be the ev the mumber shoWn is greater than four. The sample space S ={1,2,3, 4, 5, 6} The event E = and the event F (5,6} %3D %3D
Transcribed Image Text:D B) P(A) (B) The Addition Rule If A and B are defined on a sample space, then: P(A OR B) = P(A) + P(B) – P(A AND B) If A and B are mutually exclusive, then P(A AND B) = 0 Then P(A OR B) = P(A) + P(B) – P(A AND B) becomes P(A OR B) = P(A)+ P(B). %3D Example 3 If a die is rolled, (a) what is the probability of obtaining an even number or a number greater than four? (b) what is the probability of obtaining an even number and a number greater than four? plution: Let E be the event that the number shown on the die is an even number, and let F be the ev the mumber shoWn is greater than four. The sample space S ={1,2,3, 4, 5, 6} The event E = and the event F (5,6} %3D %3D
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