Question 2: An ancient Korean drinking game. An ancient Korean drinking game inv

Question

Question 2: An ancient Korean drinking game. 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 0.72. Give the probability model for the 14 possible outcomes.

Explanation / Answer

as probability of getting a square is 0.72.

hence probability of getting a traingle =1-0.72 =0.28

from above  probability of getting any one 6 square outcome A, B, C, D, E, or F =0.72/6=0.12

and probability of getting any one out of 8 traingle outcome 1, 2, 3, 4, 5, 6, 7, or 8 =0.28/8=0.035

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