Compound Probability

Front

What is Compound Probability?

Back

Compound Probability refers to the probability of two or more events happening at the same time. It can be calculated using the multiplication rule for independent events.

Front

What is the formula for calculating the probability of two independent events A and B occurring?

Back

P(A and B) = P(A) * P(B) for independent events.

Front

What does it mean for events to be independent?

Back

Independent events are those whose outcomes do not affect each other. The occurrence of one event does not change the probability of the other.

Front

What is the probability of rolling a 3 on a fair six-sided die?

Back

P(rolling a 3) = 1/6.

Front

If the probability of event A is 1/3 and event B is 1/4, what is the probability of both A and B occurring?

Back

P(A and B) = P(A) * P(B) = (1/3) * (1/4) = 1/12.

Front

What is the probability of drawing a red card from a standard deck of cards?

Back

P(drawing a red card) = 26/52 = 1/2.

Front

What is the probability of drawing a red card and then a black card from a standard deck of cards without replacement?

Back

P(red then black) = P(red) * P(black after red) = (26/52) * (26/51) = 26/102 = 1/4.

Front

What is the probability of getting heads twice in a row when flipping a fair coin?

Back

P(heads then heads) = P(heads) * P(heads) = (1/2) * (1/2) = 1/4.

Front

What is the probability of drawing two purple marbles from a bag containing 4 purple and 8 white marbles without replacement?

Back

P(purple then purple) = (4/12) * (3/11) = 12/132 = 1/11.

Front

What is the probability of event A occurring if P(A) = 2/9?

Back

P(A) = 2/9.