1. DICE PROBABILITIES By Saleem Bekkali

2. What are dice probabilities.  Dice probability is the chance the number will occur out of the set numbers. When throwing dice you get a random number. If you want to know the chance the dice will appear showing one or any other number, then use this method to help you count it.

3. How to count dice probabilities.  For example you need to count the probability you get a number at least ones throwing the dice several times. To count this probability, you need to find the probability you will not get the number you need. The chance will not change if you change the number on the dice you are finding probability for.

4. For example the chance you will get 3 is 1/6. So subtract numerator from denominator and place the answer as numerator, and you will get the chance you will not get the number you need. In this case it is 5/6. Then raise that ratio to the power of how much you throw dice. If you throw dice three times, then raise 5/6 to the power of 3. You will get 125/216. Then you need to subtract the numerator from denominator and place the answer as numerator. You will get 91/216.

5. This is the probability you will get three throwing dice three times. It is 42 percents rounded to the nearest percent.

6. Why not method 1/6, 2/6, and 3/6?  You may think that the chance of getting at least one six throwing the dice two times is 2/6 and throwing the dice three times is 3/6. Using this method, the chance of getting at least one six throwing the dice six times is 6/6 or 100%, but no matter how much you throw dice, you will never get 100% chance of getting at least one six, but you may come close to it.

7. Dice probability problem.  The problem is to count the probability of getting at least one six throwing two dice six times or throwing three dice five times and compare the results. The chance of not getting one six throwing two dice is 25/36 and chance of not getting one six throwing 125/216. So the chance to get six in throwing two dice is 11/36 and the chance to get one six throwing three dice is 91/216.

8. If you use the method to count dice probability that was told before, turn the answer into percents, and round the answer to the nearest percent, you will get 89% of chance getting at least one six throwing two dice six times and 99% of chance getting at least one six throwing three dice five times. The equation that would be used to count the chance of getting at least one six throwing two dice six times is (1-(25/36)^6)*100 and the equation that would be used to count the chance of getting at least one six throwing three dice five times is (1- (91/216)^5)*100.

9. The End