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 events is the sum of their individual probabilities minus the probability of their intersection.

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.

Front

How do you calculate the probability of two mutually exclusive events?

Back

For mutually exclusive events A and B, P(A or B) = P(A) + P(B).

Front

What is the probability of drawing a spade or a red card from a standard deck?

Back

The probability is 39/52.

Front

Explain the term 'intersection' in probability.

Back

The intersection of two events A and B, denoted as A ∩ B, is the event that both A and B occur.

Front

If you draw one card from a deck, what is the probability of drawing a 5 or a diamond?

Back

The probability is 16/52.

Front

What does it mean if two events are independent?

Back

Two events are independent if the occurrence of one does not affect the probability of the other.

Front

Provide an example of mutually exclusive events.

Back

Rolling a die and getting a 2 or a 5 are mutually exclusive events.