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

Are the events of rolling an odd number and rolling a prime number on a single die mutually exclusive?

Back

False. The numbers 1, 3, and 5 are odd and prime, so they can occur together.

Front

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

Back

3/6 or 1/2, since the even numbers are 2, 4, and 6.

Front

If a spinner is numbered 1-8, what is the probability of spinning an even number?

Back

4/8 or 1/2, since the even numbers are 2, 4, 6, and 8.

Front

What is the probability of drawing a 5 or a diamond from a standard deck of cards?

Back

16/52, since there are 4 fives and 13 diamonds, but one of the fives is also a diamond.

Front

When rolling a die, are the events of rolling a 5 and rolling an even number mutually exclusive?

Back

True. A 5 is not an even number, so they cannot occur at the same time.

Front

What is the formula for calculating the probability of either event A or event B occurring?

Back

P(A or B) = P(A) + P(B) - P(A and B).

Front

If 550 students take French and 700 take Algebra, how many take both if 400 take both?

Back

400 students take both French and Algebra.

Front

What is the probability of selecting a student who takes French or Algebra from a school with 1400 students?

Back

17/28, calculated as (550 + 700 - 400) / 1400.