Enter the chance of event A occurring and the change of both A and B occurring into the calculator. The calculator will determine the probability of event B occurring.

Conditional Probability Calculator

The following formula can be used to calculate the probability of an event occurring.

Pb = Pab/Pa
  • Where Pb is the probability of event B occurring
  • Pab is the probability of both A and B occurring
  • Pa is the probability of event A occurring

To calculate the conditional probability, divide the probability of both A and B by the probability of A.

Conditional Probability Definition

Conditional probability is a mathematical concept that measures the likelihood of an event occurring, given that another event has already occurred. It is denoted as P(A|B), which represents the probability of event A happening, given that event B has already occurred.

To understand conditional probability, it is crucial to comprehend the concept of independence. Two events are considered independent if the occurrence of one does not affect the probability of the other occurring. On the other hand, if the occurrence of one event impacts the probability of another event, they are dependent.

Conditional probability allows us to calculate the probability of dependent events accurately. By utilizing prior information or knowledge about an event, we can refine our predictions and make more informed decisions.

How to calculate a conditional probability?

How to calculate a conditional probability?

  1. First, determine the probability of a

    This is the percent chance of the event a happening.

  2. Next, determine the probability of Pab

    This is the chance of both events A and B both occurring.

  3. Finally, calculate the chance of B

    Calculate the probability of B using the information from steps 1 & 2, along with the equation presented above.

FAQ

What is conditional probability?

Conditional probability is an event in which the chance of that event occurring is directly tied to the chance of another event.

What is probability?

Probability is another way of same the chance or likelihood of a specific scenario happening.