## What is an unfair dice?

Unfair dice: **higher chance of rolling higher numbers**, e.g. for faproulette.

## What is fair and unfair die?

The fair dice **behave normally ALL the time**, but the unfair dice follow a certain pattern: (a) Between odd and even hours (e.g. between 9 am and 10 am), the unfair dice change their [1, 2, 3] faces to [4, 5, 6] faces for the whole hour. So they become a dice with [4, 5, 6, 4, 5, 6] as the faces.

## What is unfair dice probability?

An unfair die looks like an ordinary 4-sided die but the probability of **a face landing on 2 is three times the probability of landing on 1**. Similarly, the probability of landing on 3 is two times that of landing on 1 and the probability of landing on 4 is four times that of landing on 1.

## How do you know if a dice is fair?

The **ol’ golf ball test**

Place the die in the water, note which side of the die faces upwards, and then give it a flick. For reasonably balanced dice, you should see a good variety of numbers facing upwards. For badly balanced dice, you’ll probably see the same one or two faces regularly. Throw those bad dice out.

## What is biased die?

A biased die is **the opposite of a fair die**. … An unbiased dice means that there is equal probability of occurrence of any of the face when the dice is rolled. That is when you roll an unbiased dice each face has equal chance of showing i.e 1/6th chance of showing up.

## What is a biased six-sided die?

Suppose the six-sided die you used in the previous problem is not fair. It is biased so **that rolling a 6 is three times more likely than any other roll**. This leads to the chance of a 6 being 3/8 and the chance of 1-5 being 1/8.

## What is an example of a fair game?

A fair game is a game **in which there is an equal chance of winning or losing**. We can say that if a game is fair then the probability of winning is equal to the probability of losing. … For example, if someone wins a game of dice only if they get a (text{3}), is it a fair game?

## Can a dice be biased?

A biased dice **has a higher chance of rolling one result over the other**. For example, you can make the side with the 1 lighter, making you more likely to throw a 1 over any other number. Or make one side sticky, so the chance that it is at the bottom is higher. Or even, deforming it so one side is smaller, or bigger.