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3. You roll a fair six-sided die three times. What is the probability that you roll three different numbers in ascending order? (For example, 1,3,6 counts, because 1 < 3 < 6, but 3, 6, 1 does not count, because 6 is not less than 1, and 2, 2,5 does not count, because 2 is not less than 2.)

3. You roll a fair six-sided die three times. What is the probability that you roll three different numbers in ascending order? (For example, 1,3,6 counts, because 1 < 3 < 6, but 3, 6, 1 does not count, because 6 is not less than 1, and 2, 2,5 does not count, because 2 is not less than 2.)

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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3. You roll a fair six-sided die three times. What is the probability that you roll three different numbers in ascending order? (For example, 1, 3,6 counts, because 1 < 3 < 6, but 3,6,1 does not count, because 6 is not less than 1, and 2, 2,5 does not count, because 2 is not less than 2.)
Transcribed Image Text:3. You roll a fair six-sided die three times. What is the probability that you roll three different numbers in ascending order? (For example, 1, 3,6 counts, because 1 < 3 < 6, but 3,6,1 does not count, because 6 is not less than 1, and 2, 2,5 does not count, because 2 is not less than 2.)
Expert Solution
Step 1

here six sided die roll three time

 

so, above is sample space.

 

here suppose ,

event A : Roll three different numbers in ascending order.

 

we need to find P(A)

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