Compound Probability Practice

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 where the outcome of one event does not affect the outcome of another. Dependent events are those where the outcome of one event does affect the outcome of another.

Front

If you draw a marble from a bag and replace it before drawing again, are the events independent or dependent?

Back

The events are independent because replacing the marble means the total number of marbles remains the same for each draw.

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 probability of picking a white rose first and a red rose next from a tray with 5 red, 3 yellow, and 8 white roses without replacement?

Back

1/6.

Front

How do you calculate the probability of drawing two marbles of the same color without replacement?

Back

P(first marble) * P(second marble given first) = (number of desired marbles/total marbles) * (number of desired marbles left/total marbles left).

Front

What is the probability of picking two purple pencils from a basket containing 5 purple and 9 brown pencils without replacement?

Back

10/91.

Front

What does it mean for an event to be independent?

Back

An event is independent if the occurrence of one event does not change the probability of the other event occurring.

Front

What is the probability of picking a red marble first and a green marble second from a bag with 6 red, 5 green, and 4 yellow marbles without replacement?

Back

P(red first) * P(green second given red first) = (6/15) * (5/14).

Front

If you have 24 pieces of chocolate candy and 14 pieces of orange candy, and you draw one piece, replace it, and draw again, what type of event is this?

Back

Independent.