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 difference between independent and dependent events?

Back

Independent events are those whose outcomes do not affect each other (e.g., flipping a coin and rolling a die). Dependent events are those where the outcome of one event affects the outcome of another (e.g., drawing cards from a deck without replacement).

Front

How do you calculate the probability of independent events?

Back

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

Front

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

Back

The probability of getting heads when flipping a fair coin is 1/2 or 50%.

Front

If a spinner has 4 equal sections numbered 1 to 4, what is the probability of landing on a perfect square?

Back

The perfect squares in this case are 1 and 4. The probability of landing on a perfect square is 2/4 or 1/2.

Front

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

Back

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

Front

How do you find the probability of dependent events?

Back

For dependent events, the probability of both events occurring is calculated as P(A and B) = P(A) * P(B|A), where P(B|A) is the probability of B occurring given that A has occurred.

Front

What is the probability of rolling a 6 on a fair six-sided die?

Back

The probability of rolling a 6 on a fair six-sided die is 1/6.

Front

If a number cube is rolled twice, what is the probability of rolling a 6 on the first roll and a number less than 5 on the second roll?

Back

The probability of rolling a 6 on the first roll is 1/6, and the probability of rolling less than 5 on the second roll (1, 2, 3, or 4) is 4/6. Therefore, the combined probability is (1/6) * (4/6) = 4/36 = 1/9.

Front

What is the total number of outcomes when flipping a coin 10 times?

Back

The total number of outcomes when flipping a coin 10 times is 2^10 = 1024.