Compound Events

Front

What is a compound event?

Back

A compound event is an event that consists of two or more simple events. For example, rolling a die and flipping a coin simultaneously.

Front

What is a simple event?

Back

A simple event is an event that consists of a single outcome. For example, rolling a 3 on a die.

Front

How do you calculate the probability of a compound event?

Back

To calculate the probability of a compound event, you can use the formula: P(A and B) = P(A) * P(B) for independent events.

Front

What are independent events?

Back

Independent events are events where the outcome of one event does not affect the outcome of another. For example, flipping a coin and rolling a die.

Front

What are dependent events?

Back

Dependent events are events where the outcome of one event affects the outcome of another. For example, drawing two cards from a deck without replacement.

Front

What is the probability of rolling a 4 on a die?

Back

The probability of rolling a 4 on a fair six-sided die is 1/6.

Front

What is the probability of flipping heads on a coin?

Back

The probability of flipping heads on a fair coin is 1/2.

Front

If you roll a die and flip a coin, what is the probability of rolling a 3 and getting heads?

Back

The probability of rolling a 3 (1/6) and getting heads (1/2) is: P(3 and heads) = (1/6) * (1/2) = 1/12.

Front

What is the sample space of rolling a die?

Back

The sample space of rolling a die is {1, 2, 3, 4, 5, 6}.

Front

What is the sample space of flipping a coin?

Back

The sample space of flipping a coin is {Heads, Tails}.