Mutually Exclusive and Inclusive Events

Sarah has 15 red chips, 12 blue chips, and 13 white chips. What is the probability that Sarah randomly selects a red or a white chip is an example of mutually ________ event.

• Exclusive

• Inclusive

Which formula do you use when two events are mutually exclusive?

• P(A or B) = P(A) + P(B)

• P(A or B) = P(A) + P(B) - P(A∩ B)

• P(A and B) = P(A) * P(B)

• P(A and B) = P(A) - P(B)

Is the situation a mutually exclusive event or non-exclusive (inclusive)

A die is rolled. What is the probability of rolling a 5 or a number greater than 3?

• Exclusive

• Non-Exclusive (Inclusive)

Two events are mutually exclusive if they have ​ (a)   outcome(s) in common. This means that 𝑃(𝐴 ∩ 𝐵) =

​ (b)   .

• No

• 0

• One

• Many

• 1

• Between 0 & 1

Which formula do you use when two events are NOT mutually exclusive?

• P(A or B) = P(A) + P(B)

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

• P(A and B) = P(A) * P(B)

• P (A and B) = P(A) * P(B|A)

Which of the following shows how to determine P(packers or male)?

• 75/150 + 90/150 - 50/150

• 75/150 + 35/150 - 25/150

• 50/150 + 40/150 + 25/150

• 90/150 + 50/150 - 75/150

The enrollment at Southburg High School is 1400.  Suppose 550 students take French, 700 take algebra, and 400 take both French and algebra.  What is the probability that a student selected randomly takes French or algebra?

• 1250/1400

• 700/1400

• 550/1400

• 17/28

Which of the following shows how to determine P(diamond or face card)?

• 13/52 + 12/52 - 3/52

• 3/52 + 13/52 -12/52

• 3/52 + 12/52 - 13/52

• 1/13 + 3/52 - 1/4

Which of the following shows how to determine P(odd number or shaded number)?

• 4/8 + 3/8 - 1/8

• 3/8 + 6/8 - 4/8

• 4/8 - 5/8 + 3/8

• 4/8 + 4/8 - 4/8

Identify the shaded area...

• A∩B

• A∪B

• A'∩B'

• A'∪B'