Addition Rule, Mutually Exclusive

Front

What is the Addition Rule in probability?

Back

The Addition Rule states that the probability of the occurrence of at least one of two mutually exclusive events is the sum of their individual probabilities.

Front

Define mutually exclusive events.

Back

Mutually exclusive events are events that cannot occur at the same time. If one event occurs, the other cannot.

Front

If you roll a die, what is the probability of rolling an odd number?

Back

The probability of rolling an odd number (1, 3, or 5) is 3/6 or 1/2.

Front

What is the probability of rolling a 4 or an odd number on a die?

Back

The probability is 2/3, as there are 4 favorable outcomes: 1, 3, and 4.

Front

Are the events of picking a spade and picking a heart from a deck of cards mutually exclusive?

Back

Yes, they are mutually exclusive because you cannot pick a card that is both a spade and a heart.

Front

If you roll a die, what is the probability of rolling an even number?

Back

The probability of rolling an even number (2, 4, or 6) is 3/6 or 1/2.

Front

What is the probability of rolling an even number or a multiple of 3 on a die?

Back

The probability is 2/3, as the favorable outcomes are 2, 4, and 6 (even) and 3 (multiple of 3).

Front

Are the events of rolling a 5 and rolling an even number mutually exclusive?

Back

Yes, they are mutually exclusive because you cannot roll a number that is both even and 5.

Front

If you pick a card from a deck, what is the probability of picking a diamond?

Back

The probability of picking a diamond is 1/4, as there are 13 diamonds in a deck of 52 cards.

Front

Are the events of picking an ace and picking a 3 from a deck of cards mutually exclusive?

Back

Yes, they are mutually exclusive because you cannot pick a card that is both an ace and a 3.