Probability Basics Study Cards

Enhance Your Learning with Probability Basics Flash Cards for quick learning



Probability

The measure of the likelihood that an event will occur.

Probability Theory

The branch of mathematics that studies the likelihood of events happening.

Random Variables

Variables that can take on different values based on the outcome of a random event.

Probability Distributions

Functions that describe the likelihood of different outcomes in a random experiment.

Conditional Probability

The probability of an event occurring given that another event has already occurred.

Bayes' Theorem

A formula that calculates the probability of an event based on prior knowledge of related events.

Expected Value

The average value of a random variable, weighted by the probabilities of each possible outcome.

Variance

A measure of how spread out the values of a random variable are around the expected value.

Standard Deviation

The square root of the variance, representing the average distance between each data point and the mean.

Probability Rules

Basic rules that govern the calculation and manipulation of probabilities.

Combinations

The number of ways to choose a subset of items from a larger set, without regard to the order of the items.

Permutations

The number of ways to arrange a set of items in a specific order.

Probability of Events

The likelihood of events occurring in a given situation.

Probability of Independent Events

The likelihood of two or more events occurring independently of each other.

Probability of Dependent Events

The likelihood of two or more events occurring based on the outcome of previous events.

Probability of Mutually Exclusive Events

The likelihood of two or more events that cannot occur simultaneously.

Probability of Complementary Events

The likelihood of the complement of an event occurring.

Probability of Union of Events

The likelihood of either of two or more events occurring.

Probability of Intersection of Events

The likelihood of both of two or more events occurring.

Probability of Conditional Events

The likelihood of an event occurring given that another event has already occurred.

Probability of Compound Events

The likelihood of two or more events occurring together.

Probability of Simple Events

The likelihood of individual events occurring.

Probability of Equally Likely Events

The likelihood of events that have the same probability of occurring.

Probability of Exhaustive Events

The likelihood of events that cover all possible outcomes.

Probability of Impossible Events

The likelihood of events that cannot occur.

Probability of Exclusive Events

The likelihood of events that cannot occur simultaneously.

Probability of Non-Exclusive Events

The likelihood of events that can occur simultaneously.

Probability of Disjoint Events

The likelihood of events that have no common outcomes.

Probability of Overlapping Events

The likelihood of events that share common outcomes.

Probability of Event Complements

The likelihood of the complement of an event occurring.

Probability of Event Combinations

The likelihood of multiple events occurring together.

Probability of Event Intersections

The likelihood of two or more events occurring simultaneously.

Probability of Event Unions

The likelihood of either of two or more events occurring.

Probability of Event Subsets

The likelihood of a subset of events occurring.

Probability of Event Supersets

The likelihood of a superset of events occurring.

Probability of Event Combinations and Permutations

The likelihood of different combinations and permutations of events occurring.

Probability of Event Combinations with Replacement

The likelihood of different combinations of events occurring, with replacement of items.

Probability of Event Combinations without Replacement

The likelihood of different combinations of events occurring, without replacement of items.

Probability of Event Arrangements

The likelihood of different arrangements of events occurring.

Probability of Event Orderings

The likelihood of different orderings of events occurring.

Probability of Event Sampling

The likelihood of sampling events from a larger set.

Probability of Event Sampling with Replacement

The likelihood of sampling events from a larger set, with replacement of items.

Probability of Event Sampling without Replacement

The likelihood of sampling events from a larger set, without replacement of items.

Probability of Event Success

The likelihood of a specific event occurring successfully.

Probability of Event Failure

The likelihood of a specific event not occurring successfully.

Probability of Event Success and Failure

The likelihood of a specific event occurring successfully or not.

Probability of Event Success and Failure with Replacement

The likelihood of a specific event occurring successfully or not, with replacement of items.

Probability of Event Success and Failure without Replacement

The likelihood of a specific event occurring successfully or not, without replacement of items.

Probability of Event Success and Failure Arrangements

The likelihood of different arrangements of successful and failed events occurring.

Probability of Event Success and Failure Orderings

The likelihood of different orderings of successful and failed events occurring.

Probability of Event Success and Failure Sampling

The likelihood of sampling successful and failed events from a larger set.

Probability of Event Success and Failure Sampling with Replacement

The likelihood of sampling successful and failed events from a larger set, with replacement of items.

Probability of Event Success and Failure Sampling without Replacement

The likelihood of sampling successful and failed events from a larger set, without replacement of items.