Whenever we’re unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
Probability tells us how often some event will happen after many repeated trials. You've experienced probability when you've flipped a coin, rolled some dice, or looked at a weather forecast.
How is the probability of an event calculated? An event could be the outcome of any random process such as the toss of a fair coin, the roll of a fair number cube, or the random selection of an item from a group. We use the notation P (A) to represent "the probability that event A will happen".
When all of the outcomes are equally likely, then the probability of an event is the ratio of the number of favorable outcomes to the number of possible outcomes.
Two events being independent doesn't tell us anything about their probabilities, only that the occurrence of one event doesn't affect the probability of the other event.
This video focuses on calculating conditional probabilities P (E|F) by first defining the sample space and the specific events E and F. We'll work through examples involving tossing a coin three times with various conditions for E and F, tossing two coins once, and a scenario where a mother, father, and son line up for a family picture.
Definition of Theoretical Probability. It is the likeliness of an event happening based on all the possible outcomes. The ratio for the probability of an event 'P' occurring is P (event) = number of favorable outcomes divided by number of possible outcomes.
To find the probability of a certain event, you divide the total number of values that would fulfill that event by the total number of all possible events. Probability can be written as a decimal, a fraction, or a percentage.
Theoretical probability refers to the likelihood of an event occurring based on mathematical principles and assumptions. It is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
