Flashcard Practice: 2 way tables & Conditional Probability

An independent event is an event where the outcome of one event does not affect the outcome of another event.

A dependent event is an event where the outcome of one event does affect the outcome of another event.

Conditional probability is calculated using the formula P(A|B) = P(A and B) / P(B), where P(A|B) is the probability of event A given event B.

The probability is P(Visa) = 1500/2000 = 0.75.

The probability is P(Visa and AA) = 40/2000 = 0.02.

The probability of both independent events A and B occurring is P(A and B) = P(A) * P(B).

If the spinner is fair, the probability is P(Red) * P(Blue) = (1/number of colors) * (1/number of colors).

Mutually exclusive events cannot occur at the same time; the occurrence of one event means the other cannot occur.

The total probability rule states that the total probability of an event can be found by considering all possible ways that event can occur.

The complement of an event A is the event that A does not occur, denoted as A'. The probability of A' is P(A') = 1 - P(A).