What is the formula for finding the probability of getting the sum of 30 when rolling three 20-sided dice? How about rolling four 20-sided dice and so on

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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What is the formula for finding the probability of getting the sum of 30 when rolling three 20-sided dice? How about rolling four 20-sided dice and so on?

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Step 1

We have three 20-sided dice which are rolled. The outcomes are recorded. We need to find the probability that the sum of the outcomes on three dice is 30.

Also, we need to extend our problem further to find the probability that the sum of the outcomes on three dice is 30 when four 20-sided dice are rolled and so on.

Therefore, a general formula is needed here.

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