Randomness, Probability and Simulation

If you are spinning a color wheel with seven colors on it and you have 100 spins to get a red.  After 99 spins you have gotten every color but red.  What is the chance you will spin a red on the 100th spin?

• 1

• 1/100

• 6/7

• 1/7

A statistician calculates the probability of an event in an experiment. After a dozen trials of the experiment, the statistician finds that the theoretical probability and the experimental probability differ. What is the likely reason for this?

• The statistician hasn't completed enough trials of the experiment.

• The statistician made an error in their calculations.

• The statistician made an error in constructing the experiment.

• The statistician has completed too many trials of the experiment.

What are non mutually exclusive events?

• Events that can happen at the same time

• Events that cannot happen at the same time

• Events that add up to 100%

• Events that are guaranteed to have the same probability

What is the probability that a student does not play on a sports team? 

• .5

• .45

• .55

• .15

What is the probability of tossing heads and tails in that order?

Out of the 89 people surveyed, what probability of people played only soccer?

• 0.11

• 0.16

• 0.04

• 0.22

Probability is always between ____ and ____.

(Write in numbers only for example 9 , 10)

What does the law of large numbers mean?

• The more you try, the more likely you are to get what you want.

• No matter how many times you try, the probability remains the same.

• Trying harder is a good idea.

If you flip a coin 40 times and get heads every time. What is the likelihood of flipping a tails the 41st time?

• 0

• 1/41

• 40/41

• 1/2

Decide if the following outcome is random:

Flip a coin to decide who takes out the trash.

Is who takes out the trash random?

• No

• Yes