Probability Flashcard 1 Review (5.1 to 5.4)

Front

What is the probability of selecting a woman or someone who has never been married from a random sample of American adults?

Back

0.66

Front

What is the formula for calculating the intersection of two events, P(A ∩ B)?

Back

P(A ∩ B) = P(A) + P(B) - P(A ∪ B)

Front

What is the range of possible values for probability?

Back

0 and 1

Front

Can an event and its complement occur at the same time?

Back

False

Front

What is a probability distribution?

Back

A probability distribution describes how the probabilities are distributed over the values of the random variable.

Front

If P(A) = 0.3 and P(B) = 0.5, what is P(A ∪ B) if A and B are independent?

Back

P(A ∪ B) = P(A) + P(B) - P(A ∩ B) = 0.3 + 0.5 - (0.3 * 0.5) = 0.65

Front

What does it mean if two events are mutually exclusive?

Back

Two events are mutually exclusive if they cannot occur at the same time.

Front

What is the complement of an event A, denoted as A'?

Back

The complement of event A includes all outcomes in the sample space that are not in A.

Front

What is the probability of the complement of an event A, P(A')?

Back

P(A') = 1 - P(A)

Front

What is the formula for conditional probability, P(A|B)?

Back

P(A|B) = P(A ∩ B) / P(B) if P(B) > 0.