Probability: The Basics EXPLAINED with Examples

Introduction to Probability00:00:21

Probability is a powerful tool used daily, from playing poker to deciding whether to carry an umbrella. It's a branch of math used to calculate the likelihood of certain events.

Calculating Probability: Coin Flip Example00:00:49

Using a coin flip as a common example, the video illustrates how to calculate probability. The probability of flipping tails is 0.5 or 50%, derived from a simplified formula: (number of favorable outcomes) / (total number of possibilities).

Rule 1: Probability Range00:02:09

The first rule states that the probability of any event must fall between 0 and 1. 0 represents an impossible event, and 1 represents a certain event.

Rule 2: Sum of All Outcomes00:02:28

The second rule explains that the sum of the probabilities of all possible outcomes for a given event will always equal 1. For example, the probability of heads (0.5) plus the probability of tails (0.5) equals 1.

Rule 3: Complementary Events00:02:54

The third rule, represented as P(A) + P(A complement) = 1, means that the probability of an event happening plus the probability of it not happening must equal 1, as an event either occurs or does not occur.