What is the probability that when we roll four fair 6-sided dice, they won't all show the same number?

Guest Jul 27, 2022

#1**+3 **

https://web2.0calc.com/questions/what-is-the-probability-that-when-we-roll-four-fair-6-sided-dice-they-won-t-all-show-the-same-number

CPhill had a go here

he had a small error simplifying his fraction

nerdiest Jul 27, 2022

#2**-1 **

The probability of rolling the same number on all 4 dice is \(6 \times ({1 \over 6})^4 = {1 \over 216}\). There are 6 numbers to choose from, and the 4 dice must roll that 1 number.

So, if the probability of failing is \({1 \over 216}\), what must the probability of success be, knowing the sum of the probability of failing, and the probability of succeeding is always equal to 1?

BuilderBoi Jul 27, 2022