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 probability of rolling a perfect square on a standard die?

Back

There are 3 perfect squares on a standard die (1, 4, 9). The probability of rolling a perfect square is 3/6 or 1/2.

Front

If a die is rolled twice, what is the probability of both rolls being perfect squares?

Back

The probability of both rolls being perfect squares is (1/2) * (1/2) = 1/4.

Front

How do you calculate the probability of drawing a specific color from a bag of candies?

Back

The probability of drawing a specific color is calculated by dividing the number of candies of that color by the total number of candies.

Front

What is the probability of drawing a blue piece of candy from a bag with 3 red, 5 blue, and 2 yellow candies?

Back

The probability is 5/(3+5+2) = 5/10 = 1/2.

Front

In a deck of 52 playing cards, what is the probability of drawing a club and then a second club?

Back

The probability is (13/52) * (12/51) = 13/52 x 12/51.

Front

What is the multiplication rule for independent events?

Back

The multiplication rule states that the probability of two independent events occurring together is the product of their individual probabilities.

Front

What is the probability of drawing a black checker from a bag of 6 black and 4 red checkers, replacing it, and drawing another black checker?

Back

The probability is (6/10) * (6/10) = 36/100 = 9/25.

Front

What is the probability of an event that has already occurred affecting the probability of a future event?

Back

This is known as conditional probability, where the probability of an event is influenced by the occurrence of a previous event.

Front

If Jamie has 3 raffle tickets out of 100, what is the probability her name will be drawn for the second prize after not being drawn for the first?

Back

The probability remains 3/100 or 1/33 for the second prize, as the first draw does not affect the total number of tickets.