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Let N = {1,2,3, 4, 5, 6} with pr = for each k e {1, 2, 3, 4, 5, 6} be the probability space for a single roll of a fair die. What is the probability (a) a 5 is rolled? (b) the roll is odd? (c) two consecutive rolls are both 6? (d) two consecutive rolls add up to 7? Note that in (c) and (d) the probability space is N × N. Explain your answers in terms of the probability space, making clear the relevant event as a subset of 2 or N x N. For instance, in (b) you should identify the event {1,3, 5} and find its probability.

Let N = {1,2,3, 4, 5, 6} with pr = for each k e {1, 2, 3, 4, 5, 6} be the probability space for a single roll of a fair die. What is the probability (a) a 5 is rolled? (b) the roll is odd? (c) two consecutive rolls are both 6? (d) two consecutive rolls add up to 7? Note that in (c) and (d) the probability space is N × N. Explain your answers in terms of the probability space, making clear the relevant event as a subset of 2 or N x N. For instance, in (b) you should identify the event {1,3, 5} and find its probability.

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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Parts c) and d) please 

Let N = {1,2, 3, 4, 5, 6} with på = for each k e {1, 2, 3, 4, 5, 6} be the probability space for a single roll of a fair die. What is the probability (a) a 5 is rolled? (b) the roll is odd? (c) two consecutive rolls are both 6? (d) two consecutive rolls add up to 7? Note that in (c) and (d) the probability space is N × N. Explain your answers in terms of the probability space, making clear the relevant event as a subset of 2 or N × N. For instance, in (b) you should identify the event {1,3,5} and find its probability.
Transcribed Image Text:Let N = {1,2, 3, 4, 5, 6} with på = for each k e {1, 2, 3, 4, 5, 6} be the probability space for a single roll of a fair die. What is the probability (a) a 5 is rolled? (b) the roll is odd? (c) two consecutive rolls are both 6? (d) two consecutive rolls add up to 7? Note that in (c) and (d) the probability space is N × N. Explain your answers in terms of the probability space, making clear the relevant event as a subset of 2 or N × N. For instance, in (b) you should identify the event {1,3,5} and find its probability.
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