Rolling a Die

A die is a small cube, where each face is marked with a number (1-6). Rolling a die refers to tossing this small cube to produce a random outcome between the numbers 1 to 6. Each side of the die cube have equal probability of landing face-up while tossing. This process of rolling a die is widely used in board games, gambling, and statistical experiments to model uncertainty and chance.

For example, the table below shows the number of times or occurrences of outcomes when a die is rolled 100 times:

The sum of relative occurrence should be equal to 1. 

1/5 + 5/100 + 1/10 +3/20 + 1/4 + 1/4  = 1

Because the value of probability should be between 0 and 1. 
 

When rolling a die, we get any number from 1 to 6. When rolling a single die, the probability of getting a single number is ⅙. We use the following formula to calculate the probability of rolling a die:

Probability  = Number of Favorable Outcomes/(Total Number of Outcomes) 

If we roll 2 dice, we get the following outcomes:

{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

The above are all the possible outcomes that have equal probability.

For example, if you throw two dice at the same time. The probability of getting 1 and 5 are 2/36 or 1/18.