A dodecahedral die has 12 sides numbered from 1 to 12. The die is rolled once.
a. What is the probability that the upward face shows a number divisible by 2?
b. What is the probability that the upward face shows a number that is a multiple of 11?
A) (a) $\frac { 1 } { 2 }$ ; (b) $\frac { 1 } { 12 }$
B) (a) $\frac { 1 } { 4 }$ ; (b) $\frac { 1 } { 24 }$
C) (a) $\frac { 1 } { 4 }$ ; (b) $\frac { 1 } { 12 }$
D) (a) $\frac { 1 } { 2 }$ ; (b) $\frac { 1 } { 24 }$
E) (a) $\frac { 1 } { 2 }$ ; (b) $\frac { 1 } { 6 }$

Question

A dodecahedral die has 12 sides numbered from 1 to 12. The die is rolled once. 
a. What is the probability that the upward face shows a number divisible by 2?
b. What is the probability that the upward face shows a number that is a multiple of 11?
A) (a) $\frac { 1 } { 2 }$ ; (b) $\frac { 1 } { 12 }$
B) (a) $\frac { 1 } { 4 }$ ; (b) $\frac { 1 } { 24 }$
C) (a) $\frac { 1 } { 4 }$ ; (b) $\frac { 1 } { 12 }$
D) (a) $\frac { 1 } { 2 }$ ; (b) $\frac { 1 } { 24 }$
E) (a) $\frac { 1 } { 2 }$ ; (b) $\frac { 1 } { 6 }$

Quizplus · Accepted Answer

For (a), there are 6 numbers divisible by 2 (2, 4, 6, 8, 10, 12) out of 12, so the probability is 6/12 = 1/2. For (b), only one number (11) is a multiple of 11, so the probability is 1/12.

A Dodecahedral Die Has 12 Sides Numbered from 1 to 12