Algebra 2 9.2

Front

What are independent events in probability?

Back

Independent events are two or more events where the occurrence of one event does not affect the occurrence of the other event.

Front

What are dependent events in probability?

Back

Dependent events are two or more events where the occurrence of one event affects the occurrence of the other event.

Front

How do you determine if two events are independent?

Back

Two events A and B are independent if P(A and B) = P(A) * P(B).

Front

Example of independent events: Rolling a die twice. What is the probability of rolling a 2 and then a 6?

Back

The events are independent. P(rolling a 2) = 1/6 and P(rolling a 6) = 1/6. P(2 and 6) = (1/6) * (1/6) = 1/36.

Front

Example of dependent events: Drawing cards from a deck without replacement. What happens to the probability?

Back

The probability changes after the first draw because the total number of cards decreases.

Front

What is a sample space in probability?

Back

A sample space is the set of all possible outcomes of a probability experiment.

Front

If you randomly choose a juice box and then another without replacement, are the events independent or dependent?

Back

Dependent, because the first choice affects the second choice.

Front

If you randomly choose a tool item, look at it, and put it back before choosing again, are the events independent or dependent?

Back

Independent, because the first choice does not affect the second choice.

Front

What is the probability of selecting a specific item from a group?

Back

The probability is calculated as the number of favorable outcomes divided by the total number of outcomes.

Front

What does it mean for two events to be mutually exclusive?

Back

Mutually exclusive events cannot occur at the same time.