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

How do you calculate the probability of two dependent events?

Back

To calculate the probability of two dependent events, multiply the probability of the first event by the probability of the second event given that the first event has occurred.

Front

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

Back

The probability of two independent events A and B occurring is P(A) * P(B).

Front

If a cookie jar has 3 dozen chocolate chip, 1 dozen peanut butter, and 2 dozen oatmeal raisin cookies, what is the total number of cookies?

Back

The total number of cookies is 3 dozen + 1 dozen + 2 dozen = 6 dozen = 72 cookies.

Front

In the cookie jar example, what is the probability of choosing a peanut butter cookie first?

Back

The probability of choosing a peanut butter cookie first is 1 dozen / 6 dozen = 1/6.

Front

What is the probability of choosing a chocolate chip cookie after choosing a peanut butter cookie without replacement?

Back

After choosing a peanut butter cookie, there are 71 cookies left, and 36 of them are chocolate chip. The probability is 36/71.

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?

Back

The probability of choosing two pears is (5/25) * (4/24) = 1/30.

Front

What is the probability of picking two marbles that are not orange from a bag containing 5 blue, 4 red, and 3 orange marbles?

Back

The probability is (9/12) * (9/12) = 9/16.

Front

How do you calculate the probability of choosing a dime then a nickel from a piggy bank with 8 quarters, 2 dimes, 4 nickels, and 6 pennies?

Back

The probability is (2/20) * (4/19) = 8/380 = 2/95.

Front

What is the probability of catching a bluegill then a carp from a pond with 3 bluegill, 4 catfish, 7 bass, and 2 carp?

Back

The probability is (3/16) * (2/16) = 6/256 = 3/128.