Mutually Exclusive Overlapping Events

If you are picking a card randomly from a deck of cards, the events of picking an ace and picking a ‘3’ are mutually exclusive.

• True

• False

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 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

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

• 20/100 + 55/100 - 5/100

• 55/100 + 5/100 - 20/100

• 55/100 + 20/100 + 5/100

• 75/100 + 25/100 - 20/100

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

If you are picking a card randomly from a deck of cards, the events of picking a jack and picking a heart are mutually exclusive.

• True

• False

When rolling a single die, the events of rolling an even number and rolling a ‘5’ are mutually exclusive.

• True

• False

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

What are mutually exclusive events?

• Events that can happen at the same time

• Events that cannot happen at the same time

• Events that add up to 100%

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