# Conditional Probability Calculator

**Conditional probability** is the **probability** of one event occurring with some relationship to one or more other events.

## What is Conditional Probability Calculator?

'Cuemath's Conditional Probability Calculator' is an online tool that helps in calculating the conditional probability of a given event. Cuemath's online conditional probability calculator helps you to calculate the conditional probability in a few seconds.

## How to Use Combinations Calculator?

Please follow the below steps to find the conditional probability:

**Step 1:**Enter the value of P (A ∩ B) and the P(B) in the given input boxes.**Step 2:**Click on the**"Calculate"**button to find the conditional probability.**Step 3:**Click on the**"Reset"**button to clear the fields and enter the different values.

## How to Find Conditional Probability Calculator?

Conditional probability is defined as the probability of an event A that has happened in relation to an event B. With the help of this calculator, we can find the probability of happening of event A given that event B has happened by using the given formula:

P(A|B) = P(A ∩ B) / P(B)

Here P(A|B) is the conditional probability of event A with respect to event B

**Solved Example:**

Out of 50 football players, 40 play club football, 30 play football for the national team and 20 players play for both club and national team. If a player is selected at random and he plays for the club team what is the probability that he plays for the national team too?

**Solution:**

In the given question

P(A ∩ B) = 20/50 = 0.4

P(B) = 0.8

So, P(A|B) = P(A ∩ B) / P(B)

P(A|B) = 0.4 / 0.8

P(A|B) = 0.5