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

Define a compound event.

Back

A compound event is an event that consists of two or more simple events.

Front

What is the probability of drawing a second purple marble after drawing a blue marble from a bag containing 3 purple, 1 blue, and 1 yellow marble?

Back

3/4

Front

What is the probability of the arrow stopping on 'X' on the first spin and 'F' on the second spin if the probability of 'X' is 1/6 and 'F' is 1/6?

Back

1/36

Front

If there are 3 red pens, 2 green pens, and 1 blue pen in a box, what is the probability of picking a red pen and then a green pen with replacement?

Back

1/6

Front

What is the probability of choosing two pears from a fruit basket containing 9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit without replacement?

Back

1/30

Front

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

Back

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

Front

What is the formula for calculating the probability of dependent events?

Back

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. The occurrence of one event excludes the possibility of the other.

Front

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

Back

36 (6 sides on the first die multiplied by 6 sides on the second die).