Unit 6 Probability Part 1 AP Stats

Front

What is the formula for the probability of the intersection of two events A and B?

Back

P(A ∩ B) = P(A) * P(B) if A and B are independent.

Front

Define independent events in probability.

Back

Two events A and B are independent if the occurrence of one does not affect the occurrence of the other, i.e., P(A|B) = P(A).

Front

What is the formula for conditional probability?

Back

P(A|B) = P(A ∩ B) / P(B) where P(B) > 0.

Front

Calculate P(Pizza ∩ Water) given P(Pizza) = 58/400 and P(Water) = 62/182.

Back

P(Pizza ∩ Water) = 58/400.

Front

What is the probability of the union of two events A and B?

Back

P(A ∪ B) = P(A) + P(B) - P(A ∩ B).

Front

If P(A) = 0.2 and P(B) = 0.4, what is P(A ∩ B) if A and B are independent?

Back

P(A ∩ B) = P(A) * P(B) = 0.2 * 0.4 = 0.08.

Front

What does P(Freshman or Pizza) represent?

Back

It represents the probability that a randomly selected individual is either a Freshman or orders Pizza.

Front

How do you calculate the probability of an event given another event has occurred?

Back

Use the formula P(A|B) = P(A ∩ B) / P(B).

Front

What is the probability of an event that is certain?

Back

P(Event) = 1.

Front

What is the probability of an event that is impossible?

Back

P(Event) = 0.