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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

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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