Compound Probability Practice

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 independent events?

Back

To calculate the probability of independent events, multiply the probability of each event occurring. For example, P(A and B) = P(A) * P(B).

Front

What is the probability of choosing a letter from the word 'MATH' and then flipping tails on a coin?

Back

1/13

Front

What is the probability of rolling an odd number on a die twice?

Back

1/4

Front

What is the probability of rolling a 6 on the first roll and a number less than 5 on the second roll?

Back

1/9

Front

How do you calculate the probability of dependent events?

Back

For dependent events, the probability of the second event is affected by the first. Use P(A and B) = P(A) * P(B|A), where P(B|A) is the probability of B given A has occurred.

Front

What is the total number of outcomes when rolling a die twice?

Back

36 outcomes (6 options for the first roll multiplied by 6 options for the second roll).

Front

If a piggy bank contains 4 quarters, 18 dimes, 10 nickels, and 8 pennies, what is the probability of choosing a quarter and then a nickel without replacement?

Back

1/39

Front

What is the probability of catching a bluegill and then a carp from a pond stocked with various fish?

Back

2/75

Front

What is the formula for calculating the probability of at least one event occurring?

Back

P(at least one) = 1 - P(none).