Fair Dice – Meaning, Use, Physical Characteristics, Solved Examples, and FAQs

Fair Dice Meaning

A fair dice is a six-sided die that is evenly balanced so that each of its six sides has an equal chance of landing face up when it is thrown. Fair Dice – Meaning Use Physical Characteristics Solved Examples and FAQs.

Is there any other Fair Polyhedral?

Yes, there are many other fair polyhedral. Some include the dodecahedron, the icosahedron, and the octahedron.

Are these Fair Solids?

The solids are not fair because they are not equally shaped.

Fair Dice Meaning

When dice are said to be “fair,” this means that they are unbiased and have an equal chance of landing on any given number.

Factors Affecting whether the Rolled Die is Fair

There are several factors that can affect whether a rolled die is fair. The most important one is the type of die being used. Other factors include the size of the die, the weight of the die, and the surface on which the die is rolled.

Use of Fair Dice

A fair die is a six-sided die that is equally likely to roll any of its six sides. Fair dice are used in many types of games, including craps, roulette, and backgammon.

Professional Dice

These are the dice that are used in the game.

Spherical Dice

This is a set of 10 plastic dice in the shape of spheres. They are white with black spots.

Physical Characteristics of a Fair-Sided Die

A fair-sided die is a six-sided die that is equally likely to land on any of its six sides.

Single Fair Die

A fair die is a six-sided die that is fair, meaning that each of its six faces has the same probability of being face up when the die is thrown.

Two Fair Dice

There are two fair dice.

The probability of getting a six with one die is 1/6.

The probability of getting a six with two dice is 1/6 * 1/6 = 1/36.

36 Outcomes with 2 Dice

The table below shows the outcomes for rolling two dice.

2 3 4 5 6 7 8 9 10 11 12 1 1 2 3 4 5 6 7 8 9 10 11 12 2 2 3 4 5 6 7 8 9 10 11 12 3 3 4 5 6 7 8 9 10 11 12 4 4 5 6 7 8 9 10 11 12 5 5 6 7 8 9 10 11 12 6 6 7 8 9 10 11 12 7 7 8 9 10 11 12 8 8 9 10 11 12 9 9 10 11 12 10 10 11 12 11 11 12 12

How to Calculate Probability?

To calculate probability, divide the number of desired outcomes by the total number of possible outcomes.

One Die Rolled

Twice

One die is rolled twice. What is the probability of getting a 4 on the first roll and a 2 on the second roll?

There is a 1/6 chance of getting a 4 on the first roll and a 1/6 chance of getting a 2 on the second roll, so the probability of getting a 4 on the first roll and a 2 on the second roll is 1/6 × 1/6 = 1/36.

Probabilities in Percentage

1. A coin is tossed. What is the probability of getting heads?

50%

Two or More Dice Rolled

2

3

4

6

Solved Examples

Question 1:

The radius of a circle is 7 cm. What is its circumference?

Circumference of a circle is π times the radius of the circle.

Circumference of the circle = π x 7 cm
= 22.14 cm

Fair Dice – Meaning Use Physical Characteristics Solved Examples and FAQs.