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 drawing two marbles without replacement?

Back

To calculate the probability of drawing two marbles without replacement, multiply the probability of drawing the first marble by the probability of drawing the second marble after the first has been removed.

Front

What is the probability of drawing a red marble from a bag of 17 marbles (4 blue, 6 green, 2 red, 5 yellow)?

Back

The probability of drawing a red marble is 2/17.

Front

If a red marble is drawn and not replaced, what is the probability of then drawing a green marble?

Back

The probability of drawing a green marble after a red marble has been drawn is 6/16.

Front

What is the probability of rolling a 3 on a standard 6-sided die?

Back

The probability of rolling a 3 is 1/6.

Front

How do you calculate the probability of selecting two boys from a group of 35 boys and 50 girls?

Back

The probability is calculated as (35/85) * (34/84) for selecting two boys without replacement.

Front

What is the probability of selecting two pears from a basket containing 5 pears, 3 bananas, and 2 oranges without replacement?

Back

The probability is (5/10) * (4/9) for selecting two pears.

Front

If two balls are drawn from a bag containing 2 violet and 4 pink balls with replacement, what is the probability of drawing a violet first and a pink next?

Back

The probability is (2/6) * (4/6) = 8/36.

Front

What is the multiplication rule in probability?

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 addition rule in probability?

Back

The addition rule states that the probability of either of two mutually exclusive events occurring is the sum of their individual probabilities.