Compound Probability

Front

What is Compound Probability?

Back

Compound Probability is the probability of two or more events happening at the same time. It can be calculated using the formula P(A and B) = P(A) * P(B) if the events are independent.

Front

What does it mean for events to be independent?

Back

Independent events are those whose outcomes do not affect each other. For example, flipping a coin and rolling a die are independent events.

Front

What is the formula for calculating the probability of two independent events occurring together?

Back

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

Front

If the probability of event A is 1/3 and the probability of event B is 1/2, what is the probability of both A and B occurring?

Back

P(A and B) = (1/3) * (1/2) = 1/6.

Front

What is the probability of drawing a purple and then a red marble from a bag containing 6 purple and 6 red marbles?

Back

P(purple, red) = (6/12) * (6/11) = 1/2 * 6/11 = 6/144 = 1/24.

Front

What is the probability of drawing two purple marbles in succession without replacement?

Back

P(purple, purple) = (6/12) * (5/11) = 1/2 * 5/11 = 5/22.

Front

What is the probability of drawing a King and then an Ace from a standard deck of cards?

Back

P(K then A) = (4/52) * (4/51) = 0, because there are no Aces left after drawing a King.

Front

What is the probability of drawing two E's from a bag containing 4 E's and 5 other letters?

Back

P(E then E) = (4/9) * (3/8) = 12/72 = 1/6.

Front

What is the probability of drawing an Ace and then a King from a standard deck of cards?

Back

P(A then K) = (4/52) * (4/51) = 16/2652 = 4/663.

Front

What is the probability of drawing a red marble followed by a blue marble from a bag containing 4 red and 4 blue marbles?

Back

P(red, blue) = (4/8) * (4/7) = 16/56 = 2/7.