Mutually Exclusive and Overlapping Events Practice

A survey found that 19% of the population owned dogs, 14% owned cats, and 6% of the population owned both a cat and a dog? Find the probability that a person owns a cat or a dog.

• 0.19 + 0.14 + 0.06

• 19/100 + 14/100 - 6/100

• 0.06 + 0.14 - 0.19

• 19/100 + 6/100 -14/100

Which of the following shows how to determine P(steelers or female)?

• 50/150 + 35/150 - 40/150

• 40/150 + 35/150 - 25/150

• 75/150 + 90/150 - 35/150

• 75/150 + 60/150 - 35/150

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

Which of the following shows how to determine P(football or basketball)?

• 20/233 + 55/233 - 5/233

• 55/233 + 5/233 - 20/233

• 55/233 + 20/233 + 5/233

• 75/233 + 25/233 - 20/233

Mathematical Equivalence

ON

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 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

Which of the following shows how to determine P(king or a red card)?

• 4/52 + 2/52 - 26/52

• 1/13 + 1/26 - 1/2

• 4/52 + 26/52 - 2/52

• 2/52 + 4/52 - 26/52

Which of the following shows how to determine when a die is rolled P(multiple of 2 or a multiple of 3)?

• 2/6 + 1/6 - 3/6

• 4/6 + 2/6 - 1/6

• 3/6 + 2/6 - 1/6

• 5/6 + 1/6 - 3/6