Module 10 Review - Probability

Shurley bought a new bed and now needs to find pillows, sheets, and a comforter for it. She wants to have black or white pillows; striped or plaid sheets; and a solid, polka-dot, or zebra-print comforter.

How many unique bedding combinations can Shurley make?

• 12

• 16

• 8

• 36

Omar ordered his sister a birthday card from a company that randomly selects a card from their inventory. The company has 21 total cards in inventory. 14 of those cards are birthday cards.

What is P(not a birthday card)?

• 14/21

• 7/21

• 7

• 14/35

Tags

CCSS.7.SP.C.7B

A swimming coach needs to choose a team for a relay race. The coach must select 4 of 6 available swimmers and put them in a strategic sequence.

How many unique ways are there to arrange 4 of the 6 swimmers?

• 360

• 15

• 24

• 30

• 720

Neha is playing a word game where she's trying to make 3-letter words using letters in the word PHONE. She cannot use the same letter twice.

How many unique ways are there to arrange 3 letters from the word PHONE?

• 20

• 60

• 30

• 80

• 120

Priya's favorite singer has made 6 albums containing 75 songs in total. Priya wants to make a playlist of 10 of those songs, and she won't repeat 1 of the 75 songs.

The permutation formula _nP_r can be used to find the number of unique ways Priya can pick and arrange the songs for the playlist.

What is the appropriate value of r?

• 1

• 75

• 6

• 10

• 74

When a customer buys a family-sized meal at certain restaurant, they get to choose 3 side dishes from 9 options. Suppose a customer is going to choose 3 different side dishes.

How many groups of 3 different side dishes are possible?

• 84

• 504

• 168

• 10,080

• 27

Mr. Swartz's burrito stand lets customers choose 4 ingredients from the list (see image) to add their burritos.

How many unique burritos can be made with 4 toppings?

• 70

• 32

• 24

• 1680

• 56

How many numbers between 1 and 100 (inclusive) are divisible by 10 or 7?

• 24

• 23

• 14

• 11

Tags

CCSS.3.OA.A.3

How many unique ways are there to arrange the letters in the word PUPPY?

• 20

• 120

• 40

• 25

• 60

McDonald's has reward system that randomly selects customers when they pay for their meal to receive a 50% off coupon for their next visit. Each customer has a 10% probability of being selected to receive a coupon.

Suppose that 2 customers pay for their meals, one after the other.

What is the probability that NEITHER customer is selected to receive a coupon?

• 0.81

• 0.01

• 0.5

• 0.25

• 0.2