# Why are dice numbered the way they are?

• Last Updated : 21 Nov, 2021

Probability is a branch of mathematics that simply evaluated the numerical descriptions of how likely something or an event is going to happen. It is an estimation of an event to take place. The probability of an event is always between 0 and 1. It is whether expressed in numbers or percentages.

For example: When a coin is tossed in the air, the possibility of head and tail as an outcome is 0.5 or 50% for both cases.

Formula of probability

P(A) = n(A)/n(S)

where,

n(A) is the number of favorable outcomes

n(S) is the total number of outcomes

### Types of Probability

• Classical probability: It is also widely written as a theoretical probability that uses sample spaces to determine the numerical probability That an event will occur or not.

P(E) = n(E)/n(S)

• Empirical probability: It is also known as the experimental probability that uses actual experience to determine the outcomes of an event.
• Subjective probability: It is an educational guess or estimation based on thinking or intuition.

### Why are all dice numbered the way they are?

Dice is a solid cube with markings on its every face. The faces are almost the same as each other. They are used in games running on chances. The individuals pick random numbers to bet on as well as it is used on-board games for rolling to determine the number of moves. The most common type of dice is six-faced dice. It is a six-sided cube with the numbers indicting from 1 to 6.

The opposite faces of six-sided dice are arranged always to sum up to seven. This arrangement gives two possible mirror images in which the numbers 1,2, and 3 may be arranged in a clockwise or anti-clockwise order about a corner.

### Sample Questions

Question 1. A box contains 20 black, 10 blue, and 30 white balls. What is the probability drawn at random being black, blue, or white?

Number of favorable outcomes n(A) = 60

number of total outcomes n(S) = 60

Now,

P(A) = n(A)/n(S)

= 60/60 = 1

Question 2. Choose a number randomly from a set of whole numbers from 1 to 50. Calculate the probability that the chosen number is not less than 45.

Number of favorable outcomes n(A) = 6

Number of total outcomes n(S) = 50

Now,

P(A) = n(A)/n(S)

= 6/50

= 3/25

Question 3. What is the probability of a dice showing 5?

Number of favorable outcomes n(A) = 1

number of total outcomes n(S) = 6

Now,

P(A) = n(A)/n(S)

= 1/6

Question 4. Why is the probability formula used?