 # Bayes Theorem Calculator

Bayes Theorem: p(A/B)=p(B/A)*p(A)p(B)

Enter the unknown value as ‘ x ‘

Enter Probability of A i,e p(A)=
Enter Probability of B i,e p(B)=
Enter Conditional Probability of A and B i,e p(A/B)=
Enter Conditional Probability of B and A i,e p(B/A)=

x=

Bayes Theorem Calculator is a free online tool that displays the conditional probability for the given event. BYJU’S online Bayes theorem calculator tool makes the calculation faster, and it displays the conditional probability in a fraction of seconds.

## How to Use the Bayes Theorem Calculator?

The procedure to use the Bayes theorem calculator is as follows:

Step 1: Enter the probability values and “x” for an unknown value in the respective input field

Step 2: Now click the button “Calculate x” to get the probability

Step 3: Finally, the conditional probability using Bayes theorem will be displayed in the output field

### What is Meant by the Bayes Theorem?

In mathematics, Bayes theorem provides a formula to calculate the conditional probability for the given event. It defines the probability of an event based on the prior knowledge of conditions which might be related to the event. The formula obtained from Bayes theorem is given below:

P(A|B) = [P(A) P(B|A)]/P(B)

Where

P(A) – Probability of event A

P(B) – Probability of event B

P(A|B) – Probability of A given B

P(B|A) – Probability of B given A