Geometry PAP Test 18 Review - Probabilities

A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?

• Independent
• Dependent

Two marbles are drawn from a container in such a way that the first marble drawn is replaced before selecting the second marble. Does the outcome of the first draw affect the outcome of the second?

• Yes
• No

A _____ is a grouping of items in which order is important.

• permutation

• combination

• Fundamental Counting Principle

• n factorial

_____ is a rule used to count the total number of possible outcomes in a situation.

• permutation

• combination

• Fundamental Counting Principle

• n factorial

There are 12 math teachers, 9 science teachers, 3 music teachers, and 6 social studies teachers at a conference. If a teacher is selected at random, find the following probability.

P(science)

Leave your answer in fraction.

There are 12 math teachers, 9 science teachers, 3 music teachers, and 6 social studies teachers at a conference. If a teacher is selected at random, find the following probability.

P(not music)

Leave your answer in fraction.

There are 12 math teachers, 9 science teachers, 3 music teachers, and 6 social studies teachers at a conference. If a teacher is selected at random, find the following probability.

P(reading)

Leave your answer in fraction.

There are 12 math teachers, 9 science teachers, 3 music teachers, and 6 social studies teachers at a conference. If a teacher is selected at random, find the following probability.

P(not math)

Leave your answer in fraction.

If the diameter of the circle is 6, find the probability that a random dart will land in the circle.

• 28%

• 39%

• 72%

• 113%

Find the probability that a point chosen at random will be outside of the triangle, but inside the rectangle.

• 0.84

• 0.16

• 0.30

• 0.75