# Probability Calculator

## Probability

Probability is a way to gauge how likely something is to happen. It is expressed as a number between 0 and 1, with 1 denoting certainty and 0 denoting the impossibility of the event. It follows that the likelihood of an event increasing increases with probability, making its occurrence more likely. Probability can be expressed mathematically in the most generic sense as the ratio of desired outcomes to total outcomes.

For example, when we flip a coin, there are just two possible results: Head OR Tail (H, T). However, if two coins are tossed, there are four conceivable results: (H, H), (H, T), (T, H), and (T, T).

### Calculation of Probability

According to the probability formula, the likelihood that an event will occur is equal to the proportion of favourable outcomes to all outcomes.

Probability that an event will occur P(E) = proportion of favourable outcomes/ Total number of outcomes.

Students can conflate "favourable outcome" and "preferred outcome." The basic formula is as follows. There are, however, additional formulas for various circumstances or events.

P(A) = f / N

Where:

• P(A) = Probability of an event (event A) occurring

• f =   Ways that an event may occur

• N =  Total number of possible outcomes

We are aware that there are a total of 6 possible outcomes for a die. A 1, 2, 3, 4, 5, or 6 can be rolled. Next, we must determine the number of options available. You will always land on one of the numbers when you roll. One dice cannot be used to roll two separate numbers. So, we only have one option. We obtain a probability of 1/6 using our probability formula.

P = 1/6

We have a 1/6 chance of rolling any particular number. Rolling a 2 has a 1/6 chance, a 3 has a 1/6 chance, and so on.

### Types of Probability

Theoretical Probability

It is based on the probability that something will happen. These possibilities are primarily based on the concept of Probability. For example, if a coin is tossed, the chance of a head-turning up will be 1/2.

#### Experimental Probability

The basis is the recognition of tests. The number of possible outcomes for all the exams can be used to calculate test scores. For instance, the likelihood of checking heads is or if a coin is tossed 10 times and 6 times at a time the probability of checking head is  6/10 or 3/5.

#### Axiomatic Probability

Andrey Nikolaevich Kolmogorov, a Russian mathematician who lived from 1903 to 1987, is credited with developing the axiomatic method to probability. He claimed that three axioms might be used to calculate the likelihood of every given event (E).

### Probability Calculator

You can determine the likelihood of an occurrence based on the likelihood of other events using an online probability calculator. Our free online tool is accessible from anywhere in the world and requires no payment.

You may quickly investigate the relationships between two distinct occurrences using an online tool. You no longer need to perform any calculations manually because an online tool will give you precise results in a matter of seconds. Furthermore, there is no need to waste your time and energy trying to calculate complicated values in order to determine the probability. You may stop using the traditional probability calculation techniques and rapidly acquire accurate results using our calculator.