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Probability and Counting Principle

Authored by Anthony Clark

Mathematics

10th Grade

Probability and Counting Principle
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If there are 5 red balls, 3 blue balls, and 2 green balls in a bag, what is the probability of picking a blue ball at random?

1/5

3/10

4/10

2/10

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Using the fundamental counting principle, how many different outcomes could you have if you rolled 4 different six-sided dice?

1,296, because 6 x 6 x 6 x 6 = 1,296

24, because 6 x 4 = 24

36, because it 6 x 6 = 36

360, because 6 x 5 x 4 x 3 = 360

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

A bag contains 5 blue marbles, 4 red marbles, and 3 orange marbles. Mrs. Cox picks one without looking, replaces it and picks another one. What is the probability that she picks two that are not orange?

9/16

3/4

9/144

5/16

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the probability of rolling a 4 on a fair six-sided die?

1/4

1/2

1/6

1/3

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the number of possibilities:
A group of 25 people are going to run a race.  The top 8 finishers advance to finals.

625

4.36 X 1010

1,081,575

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How many different 3-letter combinations can be made from the letters A, B, C, and D?

6

12

24

10

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In a group of 10 people, how many ways can a president, vice president, and treasurer be selected?

720

45

100

30

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