Question

Consider a die with 12 sides in the shapes of dodecahedron. Suppose that the sides are numbers 1 to 12. Also suppose that the die is fair.

A) How many unique outcomes are possible on a single roll of the die?

B) What is the probability that a single roll of the die will result in an odd numbered face on top?

C) What is the probability that a single roll of the die will result in a 2-digit numbered face on top?

D) What is the probability that a single roll of the die will result in a 2-digit numbered face on top?

Answer 1

A) Since the die is 12 sided, there are 12 unique outcomes possible on a single roll of the die

B) The probability for an odd number on top is 1/2

C) The probability for a 2-digit numbered face on top is 1/4

D) Same question as C), so we get, again, The probability for a 2-digit numbered face on top is 1/4

Explanation:

B) The odd numbers from 1 to 12 are, 1, 3, 5, 7, 9, 11

since the die is fair, the probability for any of these occuring is 1/12

so, since there are 6 odd numbers, the probability of an odd number facing the top is,

P = 6(1/12) = 1/2

C) The 2-digit numbered faces are 10, 11, 12, so there are 3 numbers, the probability is then,

P = 3(1/12) = 1/4