5-6-22 Probability/Permutations quiz

A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?

• 5/6
• 1/2
• 1/3
• 1/6

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.7

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?

• 5/11
• 5/6
• 1/3
• 5

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”?

• 2/7

• 5/49

• 5/7

• 10/49

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes? (hint: fundamental counting principle)

• 15

• 40

• 80

• 10

Harpo, Groucho, Chico, Zeppo, Gummo and Karl are running in a race. How many different orders of finish are possible? (factorial)

• 36

• 6

• 720

• 46656

The letters A, B, C, and D are used to form four-letter passwords for entering a computer file. How many passwords are possible if letters can be repeated?

• 4 x 4 x 4 x 4 = 256

• 4 x 3 x 2 x 1 = 24

• 4 + 4 + 4 + 4 = 16

• 4 + 3 + 2 + 1 = 10

Tags

CCSS.HSS.CP.B.9

How many license plate numbers consisting of three letters followed by three numbers are possible when repetition is allowed?

• 26 x 26 x 26 x 10 x 10 x 10 = 17576000

• 26 x 25 x 24 x 10 x 9 x 8 = 11232000

• 26 x 26 x 26 x 9 x 9 x 9 = 12812904

• 26 x 25 x 24 x 9 x 8 x 7 = 7862400

Tags

CCSS.HSS.CP.B.9

A disc jockey has to choose three songs for the last few minutes of his evening show. If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

• 84

• 504

• 9!

• 3!

Rebecca has eight books. In how many different orders can they be arranged on a shelf?

• 8

• 64

• 8!

• 56

An election ballot asks voters to select three city commissioners from a group of six candidates. In how many ways can this be done?

• 6!

• 120

• 20

• 3!