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Problems are basic properties of probabilities and must have step by step instructions.

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

Explain step by step answer.

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.

Explain step by step instructions

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

Explain step by step instructions.

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

Explain step by step instructions.

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

Explain step by step instructions.

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?

Explain step by step instructions.

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