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

When rolling a single die, are rolling an even number and rolling a ‘5’ mutually exclusive?

Back

True

Front

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

Back

2/3

Front

When picking a card from a deck, are picking an ace and picking a ‘3’ mutually exclusive?

Back

True

Front

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

Back

2/3

Front

How do you determine P(diamond or face card) in a deck of cards?

Back

P(diamond or face card) = P(diamond) + P(face card) - P(diamond and face card) = 13/52 + 12/52 - 3/52.

Front

What is the probability of rolling a number greater than 3 on a single die?

Back

The probability is 1/2 (numbers 4, 5, 6).

Front

If two events A and B are mutually exclusive, what is P(A and B)?

Back

P(A and B) = 0.

Front

What is the probability of rolling a 2 or a 3 on a single die?

Back

The probability is 1/3.