Probability Flashcard (Addition & Multiplication Rules!)

Front

What is the probability of drawing a spade or a red card from a standard deck? Are the events inclusive or mutually exclusive?

Back

The events are mutually exclusive because a card cannot be both a spade and a red card.

Front

What is the probability of rolling one die and getting an even number or a multiple of 3?

Back

The probability is 2/3.

Front

If Randy has 4 pennies, 3 nickels, and 3 dimes, what is the probability of randomly choosing 2 dimes without replacement?

Back

The probability is 1/15.

Front

What is the probability of rolling a die and landing on a 4, and then rolling the die again and landing on any even number?

Back

The probability is 1/12.

Front

In a bag with 4 black marbles and 2 white marbles, what is the probability of choosing a black marble, not replacing it, and then choosing a white marble?

Back

The probability is 4/15.

Front

Define mutually exclusive events in probability.

Back

Mutually exclusive events are events that cannot occur at the same time.

Front

Define inclusive events in probability.

Back

Inclusive events are events that can occur at the same time.

Front

What is the addition rule of probability?

Back

The addition rule states that the probability of the occurrence of at least one of two events is the sum of their individual probabilities minus the probability of their intersection.

Front

What is the multiplication rule of probability?

Back

The multiplication rule states that the probability of the occurrence of two independent events is the product of their individual probabilities.

Front

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

Back

The probability is 1/4 * 1/3 = 1/12.