An ancient Korean drinking game involves a 14-sided die. The players roll the di
ID: 3125437 • Letter: A
Question
An ancient Korean drinking game involves a 14-sided die. The players roll the die in turn and must submit to whatever humiliation is written on the up-face: something like "Keep still when tickled on face." Six of the 14 faces are squares. Let's call them A, B, C, D, E, and F for short. The other eight faces are triangles, which we will call 1, 2, 3, 4, 5, 6, 7, and 8. Each of the squares is equally likely. Each of the triangles is also equally likely, but the triangle probability differs from the square probability. The probability of getting a square is 0.75. Give the probability model for the 14 possible outcomes. Round your answer to 3 decimal places.
Explanation / Answer
An ancient Korean drinking game involves a 14-sided die. The players roll the die in turn and must submit to whatever humiliation is written on the up-face: something like "Keep still when tickled on face." Six of the 14 faces are squares. Let's call them A, B, C, D, E, and F for short. The other eight faces are triangles, which we will call 1, 2, 3, 4, 5, 6, 7, and 8. Each of the squares is equally likely. Each of the triangles is also equally likely, but the triangle probability differs from the square probability. The probability of getting a square is 0.75. Give the probability model for the 14 possible outcomes. Round your answer to 3 decimal places.
Probability ( square)=0.75
Number of squares=6
P( each square)= 0.75/6 =0.125
Probability (triangle) = 1-0.75 =0.25
Number of triangles=8
P( each triangle)= 0.25/8=0.031 ( three decimals)
VALUE
Probability
A
0.125
B
0.125
C
0.125
D
0.125
E
0.125
F
0.125
1
0.031
2
0.031
3
0.031
4
0.031
5
0.031
6
0.031
7
0.031
8
0.031
VALUE
Probability
A
0.125
B
0.125
C
0.125
D
0.125
E
0.125
F
0.125
1
0.031
2
0.031
3
0.031
4
0.031
5
0.031
6
0.031
7
0.031
8
0.031