Probability and Uniform Distribution

Flashcards covering key concepts from the lecture on probability and uniform distribution.

Probability

The likelihood of an event happening, ranging from 0 (impossible) to 1 (certain).

Equally Likely Outcomes

Assuming all outcomes are equally likely, the probability of event A is the number of outcomes that make A happen divided by the total number of outcomes.

Mutually Exclusive Events

Events A and B are mutually exclusive if they cannot happen at the same time.

Independent Events

Events A and B are independent if the occurrence of A does not affect the probability of B occurring.

Expected Value

The expected value is the sum of all possible outcomes weighted by their probabilities.

Conditional Probability

The probability of an event A occurring given that event B has occurred, denoted as P(A | B).

Uniform Distribution

A probability distribution where all outcomes are equally likely, such as rolling a die or tossing a coin.

Complementary Probability

The probability that event A does not happen, calculated as 1 - P(A).