Probability Practice

Front

What is the union of two sets A and B?

Back

The union of two sets A and B, denoted as A ∪ B, is the set of elements that are in A, in B, or in both.

Front

How do you calculate the probability of an event?

Back

The probability of an event is calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

What is the probability of picking a black or white marble from a bag?

Back

To find the probability of picking either a black or white marble, add the probabilities of picking a black marble and a white marble.

Front

What does P(A or B) represent in probability?

Back

P(A or B) represents the probability that either event A occurs, event B occurs, or both events occur.

Front

How do you calculate the probability of the union of two events?

Back

P(A ∪ B) = P(A) + P(B) - P(A ∩ B), where P(A ∩ B) is the probability that both events occur.

Front

What is the probability of drawing a diamond or a face card from a standard deck of cards?

Back

P(diamond or face card) = P(diamond) + P(face card) - P(diamond and face card).

Front

What is the probability of an event that cannot occur?

Back

The probability of an event that cannot occur is 0.

Front

What is the probability of an event that is certain to occur?

Back

The probability of an event that is certain to occur is 1.

Front

How do you find the probability of independent events?

Back

For independent events A and B, P(A and B) = P(A) * P(B).

Front

What is the probability of picking a brown sock followed by a black sock with replacement?

Back

P(brown then black) = P(brown) * P(black) = (2/12) * (4/12) = 1/18.