An ancient Korean drinking game involves a 14-sided die. The players roll the di

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 0.76. Give the probability model for the 14 possible outcomes. (Round your answers to three decimal places.)

Explanation / Answer

P(any one square) = 0.76*(1/6) = 0.127

[As all 6 squares are equally likely to occur]

P(any one triangle) = (1-0.76)/8 = 0.24/8 = 0.030

[As all 8 triangles are equally likely to occur]

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