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 probability of rolling an even number on a six-sided die?

Back

The probability of rolling an even number (2, 4, or 6) on a six-sided die is 3/6 or 1/2.

Front

If you roll a die three times, what is the probability of rolling an even number each time?

Back

The probability of rolling an even number three times in a row is (1/2) * (1/2) * (1/2) = 1/8.

Front

How do you calculate the total number of lunch combinations from a menu with multiple options?

Back

Multiply the number of choices for each category. For example, if there are 6 sandwiches, 3 chips, and 5 beverages, the total combinations are 6 * 3 * 5 = 90.

Front

What is the probability of rolling a 6 on the first roll and a number less than 5 on the second roll of a die?

Back

The probability is (1/6) * (4/6) = 4/36 = 1/9.

Front

How many outfits can be made with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

Back

The total number of outfits is 5 * 8 * 2 = 80.

Front

What is the formula for calculating compound probability for independent events?

Back

For independent events, the compound probability is calculated by multiplying the probabilities of each event: P(A and B) = P(A) * P(B).

Front

What is the probability of not rolling a 2 on a die?

Back

The probability of not rolling a 2 is 5/6, since there are 5 other outcomes.

Front

How do you find the total number of outcomes when using spinners?

Back

Multiply the number of sections on each spinner. For example, if Spinner A has 3 sections and Spinner B has 4 sections, the total outcomes are 3 * 4 = 12.

Front

What is the difference between independent and dependent events in probability?

Back

Independent events do not affect each other's outcomes, while dependent events do. For example, drawing cards from a deck without replacement is dependent.