GEO Probability Multiplication and Addition Rules

Front

What is the probability of two mutually exclusive events?

Back

P(A or B) = P(A) + P(B)

Front

What is the probability of two dependent events?

Back

P(A and B) = P(A) * P(B|A)

Front

True or False: 'and' relates to the multiplication rule and 'or' relates to the addition rule.

Back

True

Front

If a bag contains 12 red marbles, 6 white marbles, and 2 blue marbles, what is the probability that all 3 marbles drawn are white?

Back

P(all 3 white) = \frac{120}{6840} = \frac{1}{57}

Front

What is the formula for the probability of selecting one event after another without replacement?

Back

P(A then B) = P(A) * P(B|A)

Front

Define mutually exclusive events.

Back

Events that cannot occur at the same time.

Front

Define dependent events.

Back

Events where the outcome of one event affects the outcome of another.

Front

What is the formula for the probability of the union of two events?

Back

P(A or B) = P(A) + P(B) - P(A ∩ B)

Front

If a basket contains 5 apples and 7 peaches, what is the probability of selecting an apple first and then a peach?

Back

P(apple first, peach second) = \frac{5}{12} * \frac{7}{11} = \frac{35}{132}

Front

What does the multiplication rule state?

Back

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