Name: What Is the Probability of All the Outcomes in Any Sample Space?
Uploaded: 2023-08-03T06:06:00.290Z
Channel: House of Math
Description: The sum of the probabilities for all the possible outcomes in a sample space is always equal to 1. Discover why this is, and how to calculate it, in this video.

Many people tend to believe that if a coin has come up heads ten times in a row, it’s more likely to come up tails next time. However, if it’s a fair coin, the probability for heads or tails remains the same for each toss. This is known as Gambler’s Fallacy, because it’s an assumption often done by people gambling.

The sum of the probabilities for all the possible outcomes in a sample space is always equal to 1. Discover why this is, and how to calculate it, in this video.

What Is the Probability of All the Outcomes in Any Sample Space?

Mathagon

Uniform Distribution

Probability of Uniform Distribution

Sum of the Probabilities