Mathematics of Games
Deliverable 01 – Worksheet

1. The first interviewer you meet with is explaining to you the importance of knowing the regional business landscape in order to be best prepared for new potential clients. She shows you a spreadsheet predicting potential client types with the following information.

Using basic properties of probabilities, state two reasons how you know this information is not accurate.

Client Type

Corporate

Small Business

Legal

Government

Private

Probability

0.45

0.11

-0.09

0.29

0.7

( Enter your step-by-step answer and explanations here. )

2. The next interviewer you meet with is excited to show you a dice game he has developed that he is hoping to sell to a local casino. The game involves using two 10 sided dice with faces numbered 1 through 10.

Create a table to show all outcomes of one roll of the dice.

( Enter your step-by-step answer and explanations here. )

3. Using the same scenario as in number 2, determine the probability of rolling a sum of 11 on the two dice.

( Enter your step-by-step answer and explanations here. )

4. Using the same scenario as in number 2, determine the probability of rolling at least one 7 on the two dice.

( Enter your step-by-step answer and explanations here. )

5. Using the same scenario as in number 2, determine the probability of rolling doubles twice in a row.

( Enter your step-by-step answer and explanations here. )

6. Using the same scenario as in number 2, your interviewer tells you that the game costs $1 to play and it has an expected value of 47 cents for every dollar spent. Use the following payouts to determine the expected value of the game. Do you agree with your co-worker’s assertion?

Roll

Sum of 19

Sum of 17

Sum of 15

Sum of 13

Doubles

Other

Winnings

$5

$3

$2

$1

$.5

$0

( Enter your step-by-step answer and explanations here. )