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)
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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Question
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).
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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}
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