12/10/24 AP Statistics Unit 4 Flashcard

Front

If P(A) = 0.6 and P(B) = 0.5, what is P(A and B) if A and B are independent events?

Back

P(A and B) = P(A) * P(B) = 0.6 * 0.5 = 0.3

Front

How many students have a foreign language?

Back

37

Front

Using the general addition rule, if P(A) = 0.4 and P(B) = 0.3, what is P(A and B)?

Back

P(A and B) = P(A) + P(B) - P(A or B) = 0.4 + 0.3 - 0.0 = 0.7

Front

What is the definition of mutually exclusive events in probability?

Back

Events that cannot occur at the same time.

Front

What is the probability that the person picked will be a boy given they speak German?

Back

0.7273

Front

Define independent events in probability.

Back

Two events are independent if the occurrence of one does not affect the occurrence of the other.

Front

What is the formula for the general addition rule in probability?

Back

P(A or B) = P(A) + P(B) - P(A and B).

Front

What does it mean for events to be dependent?

Back

Dependent events are events where the outcome of one event affects the outcome of another.

Front

What is the probability of the complement of an event?

Back

P(not A) = 1 - P(A).

Front

Explain the concept of conditional probability.

Back

Conditional probability is the probability of an event occurring given that another event has already occurred.