AP Statistics Probability Rules Flashcard

Front

Given that events A and B are independent, If P(A) = 0.3 and P(B) = 0.2, what is P(A and B)?

Back

P(A and B) = P(A) * P(B) = 0.3 * 0.2 = 0.06.

Front

Explain the multiplication rule of probability.

Back

The multiplication rule of probability states that the probability of two independent events occurring together is equal to the product of their individual probabilities.

Front

State the addition rule of probability.

Back

The addition rule of probability states that the probability of the union of two events A and B is equal to the sum of the probability of event A and the probability of event B, minus the probability of the intersection of events A and B.

Front

Given that events A and B are independent, If P(A) = 0.4 and P(B) = 0.6, what is P(A or B)?

Back

P(A or B) = P(A) + P(B) - P(A and B) = 0.4 + 0.6 - (0.4 * 0.6) = 0.76.

Front

If P(A) = 0.5 and P(B) = 0.3, what is P(A or B) if A and B are mutually exclusive?

Back

P(A or B) = P(A) + P(B) = 0.5 + 0.3 = 0.8.

Front

What is the probability of the complement of an event A?

Back

The probability of the complement of event A is P(A') = 1 - P(A).

Front

Define independent events in probability.

Back

Independent events are two events where the occurrence of one event does not affect the occurrence of the other.

Front

What is the formula for conditional probability?

Back

The formula for conditional probability is P(A|B) = P(A and B) / P(B), where P(B) > 0.

Front

If P(A) = 0.2 and P(B) = 0.5, what is P(A and B) if A and B are independent?

Back

P(A and B) = P(A) * P(B) = 0.2 * 0.5 = 0.1.

Front

What does it mean for two events to be mutually exclusive?

Back

Two events are mutually exclusive if they cannot occur at the same time; P(A and B) = 0.