Independent and Dependent Events and Compound Probability

Front

What are independent events in probability?

Back

Independent events are events where the outcome of one event does not affect the outcome of another. For example, rolling a die and flipping a coin are independent events.

Front

What are dependent events in probability?

Back

Dependent events are events where the outcome of one event affects the outcome of another. For example, drawing cards from a deck without replacement is a dependent event.

Front

What is compound probability?

Back

Compound probability refers to the probability of two or more events happening together. It can involve independent or dependent events.

Front

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

Back

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

Front

How do you calculate the probability of dependent events occurring together?

Back

To find the probability of dependent events occurring together, multiply the probability of the first event by the conditional probability of the second event given the first. For example, P(A and B) = P(A) * P(B|A).

Front

What is the probability of rolling a 2 on a die?

Back

The probability of rolling a 2 on a standard six-sided die is 1/6.

Front

What is the probability of rolling an odd number on a die?

Back

The probability of rolling an odd number (1, 3, or 5) on a standard six-sided die is 3/6 or 1/2.

Front

If you have 5 green, 6 yellow, 8 blue, and 7 brown M&Ms, what is the probability of choosing a blue M&M?

Back

The probability of choosing a blue M&M is 8/26, which simplifies to 4/13.

Front

What is the total number of outcomes when rolling two dice?

Back

The total number of outcomes when rolling two dice is 6 (for the first die) x 6 (for the second die) = 36.

Front

What is the probability of rolling an even number on the first die and an odd number on the second die?

Back

The probability is 1/2 (even on first die) * 1/2 (odd on second die) = 1/4.