# MAT3172CB3 Mathematics of Games Discrete Probability Distributions Analysis Instructions You have recently applied for an analyst position at G&B Consulti

MAT3172CB3 Mathematics of Games Discrete Probability Distributions Analysis Instructions

You have recently applied for an analyst position at G&B Consulting and have been invited in for an interview. A part of the interview requirements for the job is presenting a thorough knowledge of probability and statistics. Some of your future potential coworkers are given the opportunity to interview you and wish to test your knowledge.

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Your step-by-step breakdown of the problems, including explanations, should be present within the word document provided.

Make sure all problems are solved correctly, complete and detailed steps are provided to explain how to solve the problem, and all mathematical expressions and any graphs or tables are properly formatted. 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
Legal
Government
Private
Probability
0.45
0.11
-0.09
0.29
0.7
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.
3. Using the same scenario as in number 2, determine the probability of rolling a sum of 11 on the
two dice.
4. Using the same scenario as in number 2, determine the probability of rolling at least one 7 on the
two dice.
5. Using the same scenario as in number 2, determine the probability of rolling doubles twice in a
row.
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

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