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

How do you calculate the probability of two independent events occurring together?

Back

To find the probability of two independent events A and B occurring together, multiply their individual probabilities: P(A and B) = P(A) × P(B).

Front

If a spinner has 6 equal sections, what is the probability of landing on a specific color?

Back

The probability of landing on a specific color is 1/6, since there are 6 equal sections.

Front

What is the probability of rolling a 3 on a number cube?

Back

The probability of rolling a 3 on a number cube (1-6) is 1/6.

Front

How do you find the probability of an event not occurring?

Back

The probability of an event not occurring is 1 minus the probability of the event occurring: P(not A) = 1 - P(A).

Front

What is the probability of getting tails when flipping a coin?

Back

The probability of getting tails when flipping a coin is 1/2.

Front

If you roll a number cube twice, what is the probability of rolling a 6 both times?

Back

The probability of rolling a 6 on a number cube is 1/6. Therefore, the probability of rolling a 6 twice is (1/6) × (1/6) = 1/36.

Front

How do you calculate the total number of outcomes in a probability experiment?

Back

To calculate the total number of outcomes, multiply the number of outcomes for each individual event. For example, if you have 3 outcomes for event A and 4 outcomes for event B, the total outcomes are 3 × 4 = 12.

Front

What is the probability of picking a red marble from a bag containing 2 red, 3 green, and 3 blue marbles?

Back

The probability of picking a red marble is the number of red marbles divided by the total number of marbles: P(red) = 2/(2+3+3) = 2/8 = 1/4.

Front

What is the formula for calculating the probability of two mutually exclusive events?

Back

For two mutually exclusive events A and B, the probability of either event occurring is: P(A or B) = P(A) + P(B).