Q2W4 AP Stats - Comp -Union-Inters -Mutually Ex- Independent

Front

What is the complement of an event?

Back

The complement of an event is the set of outcomes in a sample space that are not included in the event. For example, if the event is selecting a jacket, the complement is not selecting a jacket.

Front

Define mutually exclusive events.

Back

Mutually exclusive events are events that cannot occur at the same time. For example, when rolling a die, getting a 2 and getting a 5 are mutually exclusive.

Front

What does the symbol '∪' represent in probability?

Back

The symbol '∪' represents the union of two events, meaning the event that at least one of the events occurs.

Front

What does the symbol '∩' represent in probability?

Back

The symbol '∩' represents the intersection of two events, meaning the event that both events occur at the same time.

Front

How do you calculate the total number of outfit combinations from shirts, pants, and jackets?

Back

Multiply the number of options for each clothing type. For example, if there are 3 shirts, 2 pants, and 2 jackets, the total combinations are 3 x 2 x 2 = 12.

Front

What is an example of independent events?

Back

Independent events are events where the occurrence of one does not affect the occurrence of the other. For example, flipping a coin and rolling a die are independent events.

Front

What is the probability of the union of two mutually exclusive events?

Back

The probability of the union of two mutually exclusive events is the sum of their individual probabilities.

Front

What is the probability of the intersection of two independent events?

Back

The probability of the intersection of two independent events is the product of their individual probabilities.

Front

Provide an example of a situation with dependent events.

Back

Drawing two cards from a deck without replacement is an example of dependent events, as the outcome of the first draw affects the second.

Front

What is the sample space in probability?

Back

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