Probability of Rolling a Fair Dice
Rolling a die we get any number from 1 to 6. The outcome of any number in case of rolling a single die is 1/6. This is calculated using the formula,
Probability = (Favorable Value)/(Total Values)
If we throw 2 dies we the possible outcome are,
{(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)}
These all possible outcome have equal probability. Suppose if we throw two dice and the outcome is (1, 5) then the probability of occurring (1, 5) is 1/36.
Rolling a Die
Rolling a Die is an important concept in Mathematics and its concepts are highly used in solving various problems of Probability. A die is a solid structure that is a cube with six faces and each of its faces is marked with a number from 1 to 6. And rolling a die there is equal probability that it lands on any of its faces, so each face has an equal probability of appearing. Now there are six faces so the probability of any one face is 1/6. The concept of Rolling a die is used in various games like Snake and Ladders, Ludo, Monopoly, various casino games, and others.
In this article we will learn about, What Rolling a Die means, the Probability of rolling a fair die, and others in detail.
Table of Content
- What Does Rolling a Die Mean?
- Probability of Rolling a Fair Dice
- Probability of a Number on Dice
- Possible Outcomes when Two Dice are Rolled
- Rolling a Die Examples