Flashcard Practice: 2 way tables & Conditional Probability

Front

What is an independent event?

Back

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

Front

What is a dependent event?

Back

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

Front

How do you calculate conditional probability?

Back

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.

Front

What is the probability of selecting a Visa cardholder from a group of 2000 customers where 1500 hold a Visa?

Back

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

Front

What is the probability of selecting a customer who holds both a Visa and AA card from the same group?

Back

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

Front

If two events are independent, what is the probability of both occurring?

Back

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

Front

What is the probability of spinning a red then a blue on a spinner spun twice?

Back

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

Front

What does it mean if two events are mutually exclusive?

Back

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

Front

What is the total probability rule?

Back

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

Front

What is the complement of an event?

Back

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).