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.

Front

What does it mean for events to be independent?

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 does it mean for events to be dependent?

Back

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

Front

How do you calculate the probability of independent events occurring together?

Back

To find the probability of independent events occurring together, multiply their individual probabilities. For example, P(A and B) = P(A) * P(B).

Front

How do you calculate the probability of dependent events occurring together?

Back

To find the probability of dependent events occurring together, multiply the probability of the first event by the conditional probability of the second event given the first. For example, P(A and B) = P(A) * P(B|A).

Front

What is the probability of selecting a black checker from a bag of 6 black and 4 red checkers, replacing it and selecting another black?

Back

9/25

Front

What is the probability of choosing two apples from a bowl of 8 oranges and 8 apples without replacement?

Back

7/30

Front

What is the probability of selecting two apples from a basket containing four apples and six peaches without replacement?

Back

2/15

Front

What is the probability of Jim picking a diamond from a deck of cards, replacing it, and picking a diamond again?

Back

1/16

Front

What is the formula for calculating the probability of a single event?

Back

The probability of a single event is calculated as P(E) = Number of favorable outcomes / Total number of outcomes.