Compound Probability Flashcard

Front

What is compound probability?

Back

Compound probability refers to the probability of two or more events happening at the same time or in sequence. 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 independent events?

Back

The probability of independent events occurring together is calculated by multiplying their individual probabilities. For example, P(A and B) = P(A) * P(B).

Front

What is the probability of rolling an even number on a 6-sided die?

Back

There are 3 even numbers (2, 4, 6) on a 6-sided die. Therefore, the probability of rolling an even number is 3/6 or 1/2.

Front

What is the formula for calculating the probability of drawing two items without replacement?

Back

The probability of drawing two items without replacement is calculated as P(A) * P(B|A), where P(B|A) is the probability of drawing the second item given that the first item has already been drawn.

Front

How do you find the probability of selecting two pears from a fruit basket without replacement?

Back

To find the probability of selecting two pears, calculate the probability of selecting the first pear and then the probability of selecting the second pear given the first was a pear: P(first pear) * P(second pear | first pear).

Front

What is the probability of picking a red marble and then another red marble?

Back

To find this probability, multiply the probability of picking the first red marble by the probability of picking the second red marble after the first has been removed.

Front

What is the probability of picking a green marble twice in a row?

Back

The probability of picking a green marble twice in a row is calculated by multiplying the probability of picking the first green marble by the probability of picking the second green marble after the first has been removed.

Front

How do you calculate the probability of picking a quarter and then a penny from a bag?

Back

Calculate the probability of picking a quarter first, then multiply it by the probability of picking a penny after the quarter has been removed.

Front

What is the total number of fruits in the basket if there are 9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit?

Back

The total number of fruits is 9 + 3 + 7 + 5 + 1 = 25.

Front

What is the probability of rolling an even number three times in a row with a 6-sided die?

Back

The probability of rolling an even number three times in a row is (1/2) * (1/2) * (1/2) = 1/8.