Test #1

Basic Set/Subsets

100

This method of representing sets

{a,b,c,d,e,f} 

Roster method

200

This method of representing sets 

{x/x is a number greater than 5}

Set builder notation 

300

{a,b,c} ___ {b, c, d}

Is not a subset 

400

What is the empty set?

The set that contains no elements

500

What is the cardinal number of {1,3,5,...27}

14

Venn Diagrams & Set Operations

100

Given the universal set {a,b,c,d,e,f} as well as A = {a,b,c}. Find A' 

{d,e,f}

200

Given the following 

A = {1,2,3}

B = {3,4}

What is A intersect B?

3

300

Given Sets

A = {1,2,3,4}

B= {3,4,5,}

C = {4,6,7,}

What is A union C?

{1,2,3,4,5,6,7}

400

Given the sets 

A = {1,2,3,4}

B = {4,5,6}

C = {4,6,7}

What is (A intersect B)'?

{1,2,3,4,7}

500

Given the sets 

A = {1,2,3,4}

B = {2,4,6}

C = {1,2,6,}

What is (A union B)'?

The empty set

Permutations & Combinations

100

What is 5!?

120

200

(12/4)!

6

300

₁₀C₆ = 

210

400

FCP, Permutation or Combination? 

The number of possible license plates in a state that has 3 digits 0-9 followed by 2 letters?

FCP

500

FCP, Permutation or Combination?

A ticket raffle happens at HWC tomorrow. 3 students are selected at random. First prize gets $500, second prize gets $250 and third prize gets $100. 

Permutation 

Events Involving (Not, Or, And, Conditional Probability)

100

A spinner has 6 spaces; 3 red, 2 green and 1 yellow. Find the probability of that the pointer will land on 

red and then red

2/10

200

For a segment of a radio show, a disc jockey can play 6 records. If there are 10 records to select from, in how many ways can the program for this segment be arranged?

151,200

300

You are dealt one card from a 52-card deck. What is the probability that you are dealt a club or a picture card?

11/26, 22/52 or 42%

400

Consider a political discussion group consisting of 6 Democrats, 6 republicans, and 5 Independents. Suppose that two groups members are randomly selected, in succession, to attend a political convention. What is the probability of selecting two Democrats?

30/272, 15/136, or 11%

500

If the probability of a tornado hitting California is 1/7. What is the probability of a tornado not hitting California for 4 consecutive years then hitting the 5th year

1,296/2,401, 54%

Basic Probability

100

The sample space of a coin being flipped is below. 

S = {HT, HH, TH, TT}

What is the probability of getting at least 1 tail?

3/4, 75%

200

You are dealt one card from a 52 card deck. What is the probability of getting a club?

1/4 or 25%

300

You are dealt a card from a 52 card deck. What is the probability of getting a queen?

4/52, 8%

400

If a card is selected at random from a 52 card deck. What is the probability of selecting a non-face card diamond?

10/52, 19%

500

What is the probability of an event that is certain

100%