# The probability of getting a prime number when a die is rolled is ½.

By Aina Parasher|Updated : May 17th, 2023

The probability of getting a prime number when a die is rolled is ½. A probability is a number between 0 and 1, where, loosely speaking, 0 denotes impossibility and 1 denotes certainty.

The number of favourable outcomes divided by the total number of possible outcomes is the formula for calculating an event's probability. The sample space is the collection of all possible outcomes. Therefore, the sample space includes all potential outcomes, whether they are favourable or not.

## Probability of Getting a Prime Number

The study of random occurrences and their likelihood of happening is the focus of the mathematical field of probability. It is a way of determining how uncertain or chance-prone an occurrence is. In general, the probability of an event can be calculated by dividing the number of favourable outcomes by the total number of possible outcomes.

For example, In the case of a fair six-sided die, the probability of rolling a particular number, such as 3, is 1/6 because there is only one desirable result (rolling a 3) out of the six possible results (numbers 1 to 6).

Solution

The outcomes of a die toss are 1, 2, 3, 4, 5, and 6.

Possible outcomes=6

P(E)=Number of possible outcomes/ Number of favourable outcomes

Assume that finding a prime number is event E.

Results that favour E are 2,3,5.

Number of favourable outcomes =3

P(E) = 3/6 = 1/2

As a result, The probability of getting a prime number when a die is rolled is ½.

Summary

## The probability of getting a prime number when a die is rolled is ½.

It's essential to remember that probability is a theoretical idea that may not always accurately predict the outcome of an event in a single try. It offers a mathematical framework for quantifying uncertainty and for making decisions that are based on the probability of various events.

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