Independent and Dependent 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, rolling a die and flipping a coin are independent events.

Front

What are dependent events?

Back

Dependent events are events where the outcome of one event affects the outcome of another. For example, pulling a piece of candy from a bag, eating it, and then pulling another piece of candy are dependent events.

Front

Example of independent events: Rolling a die and flipping a coin. Are they independent or dependent?

Back

Independent.

Front

Example of dependent events: Picking a piece of fruit from a bowl, eating it, and then picking another piece of fruit. Are they independent or dependent?

Back

Dependent.

Front

If you pull a Jolly Rancher from a bag and put it back before pulling another, are these events independent or dependent?

Back

Independent.

Front

What is the probability of rolling a 3 on a die and flipping heads on a coin?

Back

1/6 (for the die) * 1/2 (for the coin) = 1/12.

Front

If you pull a piece of candy from a bag and do not replace it, what type of events are this?

Back

Dependent.

Front

What is the probability of two independent events both occurring?

Back

Multiply the probabilities of each event.

Front

What is the probability of two dependent events both occurring?

Back

Multiply the probability of the first event by the probability of the second event given that the first has occurred.

Front

If the probability of event A is 1/4 and event B is 1/3, what is the probability of both events occurring if they are independent?

Back

1/4 * 1/3 = 1/12.