 # What is the probability of three events?

When two or more vents happen, the probability of multiple events allows us to calculate our odds of achieving the desired outcomes. The estimated likelihood will be influenced by whether the provided events are independent or dependent. Because this is a more complicated topic than the other topics in probability, make sure you brush up on the following:

• Learn how we calculate the chances of a single occurrence.
• Review the concept of complementary probabilities.

## What are the rules of probability?

Here are the following rules:

• An impossible event has a probability of zero; a certain event has one.
• P(S) = 1 for S, the sample space of all possibilities. The total probability of all potential outcomes is equal to one.
• For event A, P(Ac) = 1 - P(A).
• (Addition Rule) This is the chance that one or both of the occurrences will occur.
• (Multiplication Rule) The likelihood of both occurrences occurring.
• 6. (Conditional Probability) P(A/B) or P(B/A)

## How to calculate probability of three events?

The probability associated with three occurrences A, B, and C, are calculated using our calculator. When working with separate events we may compute the chance of the occurrences occurring together by multiplying the relative probabilities of the events occurring individually. To review, we can calculate their independent probability by dividing the entire number of potential outcomes by the number of outcomes. Or just fill in the

## Probability of three events - an example

For example, if you are asked to estimate the likelihood that the number five was rolled, assume a fair die was rolled. Because there are six equally likely outcomes, your answer is 1/6. Assume, however, that you are given extra information, such as the fact that the number rolled was odd, before you make your decision. You'd then change your estimate of the likelihood of a five being rolled from 1/6 to ⅓ because there are only three odd numbers that may be rolled, one of which is a five.