Randomness, Probability, and Simulation

The questions on a multiple choice test each have 6 answer choices. Which model can be used to simulate randomly selecting the correct answer on a 20 question multiple choice test?

• rolling a six-sided number cube 6 times
• rolling a six-sided number cube 20 times
• spinning a spinner with 4 equal sized sections 4 times
• choosing 1 marble in a bag of 20 different colored marbles

Which is the best way to simulate choosing one student out of 12 to be the class president?

• roll a die and flip a coin
• roll a die
• spin a spinner with 4 sections
• flip a coin

Willy runs a small company with 10 employees. He decides to pick a simple random sample of three employees to go on a business trip. He numbers them 0-9 and uses the random digit table below to select the sample. Which employees are in the sample? 
67197   28310   90341

• 67, 19, 72, 83, 10
• 67, 19, 72
• 6, 7, 1, 9
• 6, 7, 1

The questions on a multiple choice test each have 6 answer choices. Which model can be used to simulate randomly selecting the correct answer on a 20 question multiple choice test?

• assign 1 to correct, 2-20 incorrect and generate 6 numbers to represent each question.
• assign 1 to correct, 2-6 incorrect.  Generate numbers 1 to 6, 20 times to represent each question. 
• assign 1 to incorrect, 2-6 correct.  Generate numbers 1 to 6, 20 times to represent each question. 
• assign 1 to correct, 2 to incorrect, generate 20 times to represent each question. 

The questions on a multiple choice test each have 5 answer choices. Which model can be used to simulate randomly selecting the correct answer on a 20 question multiple choice test?

• rolling a number cube 5 times
• spinning a five-sided spinner 20 times
• flipping a coin 20 times
• choosing 1 marble in a bag of 20 different colored marbles

The probability of it raining today is 30%.  What is the probability that it will NOT rain?

• 30%
• 70%
• 100%
• 0%

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”? 

• 2/7
• 5/49
• 5/7
• 10/49

What is the probability of pulling a red marble
out of a jar of marbles that have 10 green marbles, 7 red marbles and 3 blue marbles?

• 1/7
• 7/20
• 7/10
• 3/10

Determine the likelihood of the following event: 
Drawing a red card from a standard deck of cards

• 1/2
• 13/52
• 1/4
• 4/52

Find the probability of rolling a 7 on a single die.

• 1/6
• 7/6
• 0
• 7/7