What is the Probability Formula?

Probability Formulas are used in determining the possibilities of an event by dividing the number of favourable outcomes by the total possible outcomes. By using this formula, we can estimate the probability associated with a specific occurrence.

Mathematically, we can write this formula as:

P(A) = Number of favourable outcomes / Total number of possible outcomes

Probability Formula calculates the ratio of favourable outcomes to the entire set of possible outcomes. The probability value lies within a range of 0 to 1, signifying that favourable outcomes cannot surpass the total outcomes, and the negative value of favourable outcomes is not possible.

Learn,

• Probability in Maths
• Probability Theory

How to Calculate Probability?

Probability of an Event = (Count of favorable outcomes) / (Total number of possible outcomes for the event)

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

P(A) < 1

Here, P(A) signifies the probability of an event A, where n(E) is the count of favorable outcomes, and n(S) is the total number of possible outcomes for the event.

When considering the complementary event, represented as P(A’), which denotes the non-occurrence of event A. then the formula will be:

P(A’) = 1- P(A)

P(A’), is the opposite of event A, indicating that either event P(A) occurs or its complement P(A’) occurs.

Therefore, now we can say; P(A) + P(A’) = 1

Learn,

• Events in Probability
• Types of Events in Probability

Probability Formulas are important mathematical tools used in calculating the probability. Before knowing the probability formulas, we need to understand the concept of Probability in short. The possibility of the occurrence of a random event is defined by probability. A probability is a chance of prediction. Its applications extend across various domains including gaming strategies, the creation of forecasts based on probability in business, and the evolving field of artificial intelligence.

In this article, we will learn the meaning and definition of the Probability Formula and how to use these formulas in calculating Probability. We also see various terms related to Probability and different formulas to easily solve mathematical problems.