Compound Probability

Front

What is an independent event in probability?

Back

An independent event is an event whose outcome does not affect the outcome of another event.

Front

What is a dependent event in probability?

Back

A dependent event is an event in which the outcome of the second event depends on the outcome of the first event.

Front

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

Back

Multiply the probability of the first event by the probability of the second event.

Front

What is the probability of drawing two pears from a basket containing 5 pears without replacement?

Back

1/30.

Front

If a bag contains 3 purple, 1 blue, and 1 yellow marble, what is the probability of drawing a purple marble after drawing a blue marble?

Back

3/4.

Front

What is the formula for calculating compound probability?

Back

P(A and B) = P(A) * P(B) for independent events; P(A and B) = P(A) * P(B|A) for dependent events.

Front

What does it mean for events to be mutually exclusive?

Back

Mutually exclusive events cannot occur at the same time.

Front

If the probability of event A is 1/4 and event B is 1/3, what is the probability of both events occurring if they are independent?

Back

1/12.

Front

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

Back

4 outcomes: HH, HT, TH, TT.

Front

What is the probability of rolling a sum of 7 with two dice?

Back

6/36 or 1/6.