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 or the addition rule for mutually exclusive 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 is the formula for calculating the probability of two mutually exclusive events A and B occurring?

Back

P(A or B) = P(A) + P(B) for mutually exclusive events.

Front

If a die is rolled, what is the probability of rolling a number greater than 4?

Back

P(rolling > 4) = 2/6 = 1/3 (the numbers 5 and 6 are greater than 4).

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 (there are 26 red cards in a deck).

Front

What is the probability of flipping a coin and getting heads?

Back

P(getting heads) = 1/2 (there are two possible outcomes: heads or tails).

Front

In a bag with 3 red, 2 blue, and 5 green marbles, what is the probability of picking a blue marble?

Back

P(picking a blue marble) = 2/10 = 1/5.

Front

What is the probability of rolling a sum of 7 with two dice?

Back

P(sum of 7) = 6/36 = 1/6 (the combinations are (1,6), (2,5), (3,4), (4,3), (5,2), (6,1)).

Front

If you have a spinner divided into 4 equal parts (red, blue, green, yellow), what is the probability of landing on green?

Back

P(landing on green) = 1/4.

Front

What is the probability of drawing two aces in a row from a standard deck without replacement?

Back

P(drawing two aces) = (4/52) * (3/51) = 12/2652 = 1/221.