AP Statistics: 5.2 Probability Rules part 1

Front

What are mutually exclusive events?

Back

Events that cannot occur at the same time. For example, rolling a 3 and rolling a 5 on a single die.

Front

When rolling a single die, are rolling an odd number and rolling a prime number mutually exclusive?

Back

False. The odd numbers are 1, 3, 5; the prime numbers are 2, 3, 5. They can occur together (e.g., rolling a 3).

Front

If a spinner is numbered 1 – 8, are spinning an even number and spinning a number less than 4 mutually exclusive?

Back

False. The even numbers are 2, 4, 6, 8; numbers less than 4 are 1, 2, 3. They can occur together (e.g., spinning a 2).

Front

What is Theoretical Probability?

Back

The probability of an event based on the possible outcomes. It is what should happen in a perfect scenario.

Front

Which formula do you use when two events are mutually exclusive?

Back

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

Front

What is the difference between independent and dependent events?

Back

Independent events do not affect each other's outcomes, while dependent events do.

Front

What is an example of independent events?

Back

Flipping a coin and rolling a die. The outcome of one does not affect the other.

Front

What is an example of dependent events?

Back

Drawing two cards from a deck without replacement. The outcome of the first affects the second.

Front

What is the formula for the probability of independent events?

Back

P(A and B) = P(A) * P(B).

Front

What does it mean if two events are complementary?

Back

The events are mutually exclusive and together cover all possible outcomes. For example, flipping a coin: heads and tails.