9-24 Live Classwork - 3.3 Addition Rule

Front

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

Back

Two events are mutually exclusive if they cannot occur at the same time. For example, drawing a 7 and drawing a jack from a deck of cards are mutually exclusive events.

Front

What does it mean for two events to be not mutually exclusive?

Back

Two events are not mutually exclusive if they can occur at the same time. For example, drawing a club and drawing a king from a deck of cards are not mutually exclusive events.

Front

How do you calculate the probability of two mutually exclusive events A and B occurring?

Back

The probability of either event A or event B occurring is the sum of their individual probabilities: P(A or B) = P(A) + P(B).

Front

What is the probability of drawing an ace or a king from a standard deck of 52 playing cards?

Back

The probability is 0.154, calculated as P(Ace) + P(King) = 4/52 + 4/52 = 8/52 = 0.154.

Front

What is the formula for calculating the probability of the union of two events A and B?

Back

P(A or B) = P(A) + P(B) - P(A and B). This accounts for any overlap between the two events.

Front

If a student is chosen at random, what is the probability of selecting someone who is a regular or heavy smoker?

Back

The probability is 0.193, which is calculated based on the total number of regular and heavy smokers in the sample.

Front

What is the probability of selecting a man or a non-smoker from a group of students?

Back

The probability is 0.921, calculated based on the total number of men and non-smokers in the sample.

Front

What is the total number of outcomes when drawing one card from a standard deck of 52 cards?

Back

The total number of outcomes is 52, as there are 52 cards in a standard deck.

Front

How many aces are in a standard deck of playing cards?

Back

There are 4 aces in a standard deck of 52 playing cards.

Front

How many kings are in a standard deck of playing cards?

Back

There are 4 kings in a standard deck of 52 playing cards.