Module 3 Quiz

Quiz Instructions

Answer all 15 multiple-choice questions
You need 11 out of 15 (70%) correct to pass
You'll receive immediate feedback with explanations
You can retake the quiz as many times as needed

Question 1

If P(A) = 0.65, what is P(not A)?

a) 0.65

b) 0.35

c) 1.00

d) 0.50

Question 2

You roll a fair six-sided die. What is the probability of rolling a number less than 4?

a) 1/6

b) 1/3

c) 1/2

d) 2/3

Question 3

How many different 3-letter passwords can be made using the letters A, B, C, D, E if letters can repeat?

a) 15

b) 60

c) 125

d) 243

Question 4

How many ways can you arrange 4 books on a shelf?

a) 4

b) 12

c) 16

d) 24

Question 5

From 8 students, how many ways can you select 3 to form a study group?

a) 24

b) 56

c) 336

d) 512

Question 6

Which situation requires using a PERMUTATION (not a combination)?

a) Choosing 5 people for a committee

b) Selecting 3 pizza toppings from 10

c) Assigning 1st, 2nd, and 3rd place winners

d) Picking 6 lottery numbers from 49

Question 7

You draw a card from a deck. Given it's a red card, what's P(it's a diamond)?

a) 1/4

b) 1/2

c) 1/52

d) 13/26

Question 8

If P(A) = 0.4, P(B) = 0.5, and P(A and B) = 0.2, are A and B independent?

a) Yes, they are independent

b) No, they are dependent

c) Cannot determine from given information

d) They are mutually exclusive

Question 9

You flip a coin and roll a die. What's the probability of getting heads AND rolling a 5?

a) 1/6

b) 1/8

c) 1/12

d) 7/12

Question 10

You draw 2 cards WITHOUT replacement. What's P(both are hearts)?

a) 1/16

b) 1/17

c) 13/204

d) 1/4

Question 11

Which of the following is a discrete random variable?

a) The exact height of a student

b) The number of students in a class

c) The time it takes to run a mile

d) The weight of a randomly selected dog

Question 12

For a valid probability distribution, the sum of all probabilities must equal:

a) 0

b) 0.5

c) 1

d) 100

Question 13

Calculate E(X) for this distribution:

X	P(X)
0	0.2
1	0.5
2	0.3

a) 0.9

b) 1.0

c) 1.1

d) 1.5

Question 14

A game costs $2 to play. You win $10 with probability 0.15, or lose your $2 otherwise. What's the expected net winnings?

a) $0

b) −$0.50

c) $0.50

d) −$1.00

Question 15

What does the expected value E(X) represent?

a) The most likely value of X

b) The long-run average value of X

c) The maximum value of X

d) The spread of X values

Quiz Instructions

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