Conditional Probability and Probability Chains Quiz

Conditional probability is the likelihood of an event happening based on the occurrence of another event.

P(A and B) represents the probability of both events A and B occurring together.

Conditional probability P(A | B) is calculated by dividing the probability of both events A and B occurring by the probability of event B.

For independent events A and B, the probability of both events occurring is the product of their individual probabilities.

Mutually exclusive events cannot occur together, so the probability of both happening simultaneously is 0.

The complement of an event in probability is the probability of the event not happening.

A probability chain is a series of events where each event's probability depends on the outcome of the previous event.

The probability of drawing two consecutive cards of the same suit without replacement from a deck of cards is 1/26.

The Law of Total Probability states that the probability of an event A is the sum of the probabilities of A given different conditions.

In a group of 30 people, the probability that at least two people share the same birthday is 0.95.

Bayes' Theorem is a fundamental theorem used to calculate conditional probabilities by reversing the order of conditional probabilities.