Computer games in which the players take the roles of characters are very popula

Question

Computer games in which the players take the roles of characters are very popular. They go back to earlier tabletop games such as Dungeons & Dragons. These games use many different types of dice. A four-sided die has faces with 1, 2, 3, and 4 spots.

What is the assignment of probabilities to outcomes in this sample space?
Assume that the die is perfectly balanced, and follow the method of Example 11.4.

Step 2:
In this probability model, what is the probability of 2 spots?

Step 3:
In this probability model, what is the probability of 4 spots?

Step 4:
In this probability model, what is the probability of 5 spots?

Step 5:
In this probability model, what is the probability of 1 spot?

S = {2,3,4,5,6,7,8} S = {1,2,3,4} S = {1,2,3,4,5,6,7,8} S = {2,4,6,8} eBook

Explanation / Answer

1) sample space =S = {2,3,4,5,6,7,8}

2)probability of two spots =1/16 (As both needs to contain 1 spot)

3) probability of 4 spots =3/16

4)probability of 5 spots =4/16

5)probability of 1 spot=0

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