# An experiment consists of choosing a subset from a fixed number of objects where the arrangement/order of the chosen objects is not important. Determine the size of the sample space when you choose the following:

1. (2 points) An experiment consists of choosing a subset
from a fixed number of objects where the arrangement/order of
the chosen objects is not important. Determine the size of the
sample space when you choose the following:
(a) 2 objects from 24
(b) 4 objects from 15
(c) 7 objects from 25

(incorrect)
2. (2 points) Determine the size of the sample space that
corresponds to the experiment of tossing a coin the following
number of times:
(a) 2 times
(b) 3 times
(c) n times

(incorrect)
3. (2 points) Suppose you select a letter at random from the
word MISSISSIPPI.
The probability of selecting the letter I is
The probability of selecting the letter S is
The probability of selecting the letters P or M is
The probability of not selecting the letter M is

(incorrect)
4. (2 points) A fun size bag of M&Ms has about 18 candies.
You open one of the bags and discover:
3 Blues, 3 Yellows, 5 Browns, 4 Reds and 3 Greens.
The probability of choosing a brown is .
The odds in favor of choosing a yellow is
The probability of choosing either a blue or a red is
The odds against a green being chosen is

(incorrect)
5. (2 points) Look at these tiles.
Haley puts these 12 tiles in a bag and shakes. Then she pulls
out a tile at random.
What is the probability she picks a tile that is a multiple of 3?
• A. 4
12
• B. 8
12
• C. 8
4
• D. 4
8

(incorrect)
6. (2 points)
There are five Oklahoma State Officials: Governor (G), Lieutenant Governer (L), Secretary of State (S), Attorney General
(A), and Treasurer (T). Take all possible samples without replacement of size 3 that can be obtained from the population of
five officials. (Note, there are 10 possible samples!)
(a) What is the probability that the governor is included in
the sample?
(b) What is the probability that the governor, attorney general
and the treasurer are included in the sample?

(incorrect)
7. (2 points) What is the probability that a family with three
children will have:
a) All boys?
b) One girl?
c) Two girls?

1
(incorrect)
8. (2 points) How many ways can a team of 25 hockey players choose a captain and two alternate captains?

(incorrect)
9. (2 points) A bookshelf has space for exactly 11 books. In
how many ways can the books be arranged on the bookshelf?

(incorrect)
10. (2 points) A park bench can seat 4 people. How many
seating arrangements are possible if 4 people out of a group of
12 want to sit on the park bench?

(incorrect)
11. (2 points) In how many ways can a person invite 4 out of
their 14 closest friends to a dinner party?

(incorrect)
12. (2 points) A company conducted a marketing survey
of college students and found that 213 own a bicycle and 112
owned a car. If 22 of those surveyed own both a car and a bicycle, how many interviewed have a car or a bicycle?

(incorrect)
13. (2 points) A company conducted a marketing survey of
its clientele and found that 215 own an iPhone and 79 own an
iPad. If 27 clients own both an iPhone and an iPad, how many
interviewed have an iPhone or an iPad?