Counting, Probability Review

What is the third term for the expansion (2x - 5)⁵?

• 2000x³

• 500x³

• 5000x²

• 800x³

Which of the following is the coefficient for the xy³ term of the expansion (3x - 2y)⁴?

• 4

• -24

• -96

• 216

(4x - y²)⁴

• 256x⁴ - 64x³y² + 16x²y⁴ - 4xy⁶ + y⁸

• 256x⁴ - 256x³y² + 96x²y⁴ - 20xy⁶ - 4y⁸

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

The experimental probability that it will rain on any given day is 15%.  Out of 365 days, about how many days can you predict it will rain?

• 50 days
• 55 days
• 53 days
• 57 days

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

CCSS.HSS.MD.B.5

Choosing 3 toppings for your sundae out of a list of 15.

• Permutation
• Combination
• Neither

Tags

CCSS.HSS.CP.B.9

Permutation, combination, or neither?

You really want a McPick 2.  There are 5 different entrees for the deal.

• combination
• permutation
• neither

Tags

CCSS.HSS.CP.B.9

Determine whether the following scenario is a permutation or a combination

Selecting a lead and an understudy for a school play.

• Combination

• Permutation

Homecoming has 7 candidates for King. How many ways can a King and a First Runner-up be chosen to form the Festival Court?

• 23
• 840
• 42
• 3,628,800

Tags

CCSS.HSS.CP.B.9

Student council has 24 members.  In how many different ways can a president, vice-president, treasurer, historian, and secretary be selected?  

• 5,100,480
• 0
• 42,504
• 5.17 x 10²¹

Tags

CCSS.HSS.CP.B.9