Probability of Overlapping Events

Which of the following shows how to determine P(shaded number or number less than five)?

• 4/8 + 4/8 - 2/8
• 4/9 + 2/8 - 4/8
• 4/8 + 6/8 + 2/8
• 2/8 + 4/8 - 4/8

Which of the following shows how to determine P(even number or a factor of 6)?

• 3/6 + 4/8 - 1/2
• 4/8 + 4/8 - 2/8
• 4/8 + 2/8 - 4/8
• 5/8 + 4/8 - 1/8

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

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(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(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 P(club or not a face card)?

• 40/52 + 10/52 - 13/52
• 13/52 + 40/52 - 10/52
• 1/4 + 10/52 - 9/52
• 13/52 + 10/52 - 36/52

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

• 5/52 + 6/52 - 3/52
• 3/52 + 7/52 - 12/52
• 4/52 + 12/52 - 0/52
• 7/52 + 4/52 - 10/52

Which of the following shows how to determine when a die is rolled P(even number or prime number)?

• 3/6 + 4/6 - 1/6
• 3/6 + 3/6 - 1/6
• 4/6 + 2/6 - 1/6
• 1/6 + 4/6 - 3/6

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