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Consider an unending sequence of independent trials, where

A First Course in Probability | 9th Edition | ISBN: 9780321794772 | Authors: Sheldon Ross ISBN: 9780321794772 63

Solution for problem 77P Chapter 3

A First Course in Probability | 9th Edition

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A First Course in Probability | 9th Edition | ISBN: 9780321794772 | Authors: Sheldon Ross

A First Course in Probability | 9th Edition

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Problem 77P

Problem 77P

Consider an unending sequence of independent trials, where each trial is equally likely to result in any of the outcomes 1, 2, or 3. Given that outcome 3 is the last of the three outcomes to occur, find the conditional probability that

(a) the first trial results in outcome 1;

(b) the first two trials both result in outcome 1.

Step-by-Step Solution:

Solution:

Step 1 of 3:

It is given that each trial is equally likely to result any one of the outcomes 1,2,3 in a unending sequence of independent trials.

Also, it is given that 3 is last outcome to occur.

Using this we need to find the required conditional probabilities.


Step 2 of 3

Chapter 3, Problem 77P is Solved
Step 3 of 3

Textbook: A First Course in Probability
Edition: 9
Author: Sheldon Ross
ISBN: 9780321794772

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Consider an unending sequence of independent trials, where