Compound Probability

Front

What is compound probability?

Back

Compound probability is the probability of two or more events happening at the same time. It is calculated by multiplying the probabilities of the individual events.

Front

How do you find the probability of two independent events occurring?

Back

Multiply the probabilities of the two events.

Front

What is the probability of rolling a die and getting an odd number?

Back

The probability is 3/6 or 1/2, since there are three odd numbers (1, 3, 5) on a die.

Front

If two dice are rolled, what is the probability that both show an odd number?

Back

1/4, since the probability of each die showing an odd number is 1/2, and (1/2) * (1/2) = 1/4.

Front

What is a tree diagram?

Back

A tree diagram is a visual representation of all possible outcomes of an event, showing the paths that can be taken.

Front

How many total outcomes are there when rolling a die and flipping a coin?

Back

12 outcomes: 6 outcomes from the die (1-6) and 2 outcomes from the coin (heads or tails), so 6 * 2 = 12.

Front

What is the probability of landing on blue first and then green if a spinner has 4 equal sections: red, blue, green, and yellow?

Back

1/16, if the probability of landing on blue is 1/4 and green is also 1/4, then (1/4) * (1/4) = 1/16.

Front

What are independent events?

Back

Independent events are events where the outcome of one event does not affect the outcome of another.

Front

What are dependent events?

Back

Dependent events are events where the outcome of one event affects the outcome of another.

Front

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

Back

P(A or B) = P(A) + P(B) - P(A and B).