Geometric Probability - PAP Geometry

A cube numbered 1 through 6 is rolled. What is the probability that the cube lands on a number that is greater than 2?

• P(>2) = ⅙

• P(>2) = ½

• P(>2) = ⅔

• P(>2) = ⅚

Using the array of shapes given, which shape has a 32% chance of being selected?

• Circle

• Square

• Heart

• Triangle

At Richmond High School, 39.4% of the students attend after-school intramural sports on Mondays and 27.3% of the students attend after-school extra help on Mondays. If a student is selected at random, what is the probability that the student attends either intramural sports or extra help? Express the result as a percentage rounded to the nearest tenth.

• P(S ⋃ H) = 33.4%

• P(S ⋃ H) = 12.1%

• P(S ⋃ H) = 1.4%

• P(S ⋃ H) = 66.7%

There are 200 students at Richmond High School (RHS). The set of students who play a sport, S, and the set of students who take an art class, A, are shown in the Venn diagram. A student is selected at random from RHS. What is the probability that the selected student plays a sport OR takes an art class?

• P(S ⋃ A) = 91%

• P(S ⋃ A) = 34%

• P(S ⋃ A) = 21%

• P(S ⋃ A) = 41%

What is the probability of P(A ⋃ B), if

P(A) = 0.23,

P(B) = 0.41, and

P(A ⋂ B) = 0.12?

• 0.64

• 0.52

• 0.76

• 0.30

A spinner has 10 equal divisions numbered 1 through 10. A prize is won if the spinner lands on a number greater than 4. Which is the set of outcomes that will win a prize?

• {1, 2, 3, 4}

• {5, 6, 7, 8, 9, 10}

• {4, 5, 6, 7, 8, 9, 10}

• {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A red cube and a black cube, each numbered 1 through 6, are in a box. One cube is selected and rolled once. Which events are mutually exclusive? Check ALL that apply.

• Rolling a 1 and rolling a 3.

• Rolling a red cube and rolling a 4.

• Rolling a 6 and rolling a multiple of 2.

• Rolling a red cube and rolling a black cube

• Rolling a 5 and rolling a number less than 4

• 1.0

• 0.33

• 0.52

• 0.19

• 0.0

Enter the correct letter ...

Events that have no outcomes in common ___

Enter the correct letter ...

Process of observing an outcome if the outcome

is not known prior to the experiment ___