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The probability of rolling a specific number on a 3-sided dice can be determined by referring to the following chart. This chart displays the likelihood of obtaining each number on the dice, with each number having an equal chance of occurring. Therefore, the probability of rolling a specific number on a 3-sided dice is 1 out of 3, or 33.33%. This can be expressed as a fraction, decimal, or percentage. The chart serves as a guide to understanding the chances of obtaining a certain outcome when rolling a 3-sided dice.
3 Dice Probability Chart (With Probabilities)
When you roll 1 dice, there are 6 possible numbers the dice could land on: 1, 2, 3, 4 5, or 6.
When you roll 2 dice, there are 6 * 6 = 36 possible combinations of numbers the dice could land on.
When you roll 3 dice, there are 6 * 6 * 6= 216 possible combinations of numbers the dice could land on.
For example:
- The first dice may land on 1,the second may land on 1 and the third may land on 1.
- The first dice may land on 1,the second may land on 1 and the third may land on 2.
- The first dice may land on 1,the second may land on 1 and the third may land on 3.
- . . .
And so on.
It turns out that there is only 1 way for the sum of the dice to be 3:
- First Dice = 1, Second Dice = 1, Third Dice = 1
However, there are 3 ways for the sum of the dice to be 4:
- First Dice = 1, Second Dice = 1, Third Dice = 2
- First Dice = 1, Second Dice = 2, Third Dice = 1
- First Dice = 2, Second Dice = 1, Third Dice = 1
And there are 6 ways for the sum of the dice to be 5:
- First Dice = 1, Second Dice = 1, Third Dice = 3
- First Dice = 1, Second Dice = 2, Third Dice = 2
- First Dice = 1, Second Dice = 3, Third Dice = 1
- First Dice = 2, Second Dice = 1, Third Dice = 2
- First Dice = 2, Second Dice = 2, Third Dice = 1
- First Dice = 3, Second Dice = 1, Third Dice = 1
We can create the following chart to visualize the probability that the sum of the three dice is equal to a particular number:
We can see that the probability distribution is .
The most likely sum of the three dice is 10 or 11 while the least likely sum of the three dice is 3 or 18.