Probability Addition Rule Not Mutually Exclusive

Identify whether the events are mutually exclusive or not mutually exclusive.

Rolling a die.

Get an even number, and get a number less than 3.

• Mutually Exclusive

• Non-Mutually Exclusive

• Cannot be determined

Identify whether the events are mutually exclusive or not mutually exclusive.

Rolling a die.

Get a prime number (2,3,5) and get an odd number.

• Mutually Exclusive

• Non-Mutually Exclusive

• Cannot be determined

Identify whether the events are mutually exclusive or not mutually exclusive.

Rolling a die.

Get a number greater than 3 and get a number less than 3

• Mutually Exclusive

• Non-Mutually Exclusive

• Cannot be determined

Identify whether the events are mutually exclusive or not mutually exclusive.

Select a student in your class.

The student has blond hair, and the student has blue eyes.

• Mutually Exclusive

• Non-Mutually Exclusive

• Cannot be determined

Identify whether the events are mutually exclusive or not mutually exclusive.

Select a student in your college.

The student is a sophomore, and the student is a business major.

• Mutually Exclusive

• Non-Mutually Exclusive

• Cannot be determined

In a fish tank, there are 24 goldfish, 2 angel fish, and 5 guppies. If a fish is selected at random, find the probability that it is a goldfish or an angel fish.

• 24/31

• 25/31

• 26/31

• 27/31

At a particular school with 200 male students, 58 play football, 40 play basketball, and 8 play both. What is the probability that a randomly selected student plays neither?

• 98/200

• 90/200

• 110/200

• 192/200

In a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females, and 12 of the juniors are males. If a student is selected at random, find the probability of selecting a senior or a female.

• 15/28

• 6/28

• 4/7

• 3/5

On a hospital staff, there are 4 dermatologists, 7 surgeons, 5 general practitioners, 3 psychiatrists, and 3 orthopedic specialists. If a doctor is selected at random, find the probability that the doctor is a psychiatrist or a dermatologist.

• 7/22

• 5/22

• 6/22

• 8/22

At a used-book sale, 100 books are adult books and 160 are children's books. Of the adult books, 70 are nonfiction while 60 of the children's books are nonfiction. If a book is selected at random, find the probability that it is not a children's nonfiction book.

• 20/26

• 21/26

• 22/26

• 23/26