Difference between revisions of "2012 CEMC Gauss (Grade 8) Problems/Problem 2"

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{{Duplicate|[[2012 CEMC Gauss (Grade 8) Problems|2012 CEMC Gauss (Grade 8) #2]] and [[2012 CEMC Gauss (Grade 7) Problems|2012 CEMC Gauss (Grade 7) #3]]}}
 
==Problem==
 
==Problem==
 
A six-sided die has the numbers one to six on its sides. What is the probability of rolling a five?
 
A six-sided die has the numbers one to six on its sides. What is the probability of rolling a five?
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~anabel.disher
 
~anabel.disher
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{{CEMC box|year=2012|competition=Gauss (Grade 8)|num-b=1|num-a=3}}
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{{CEMC box|year=2012|competition=Gauss (Grade 7)|num-b=2|num-a=4}}

Latest revision as of 21:53, 18 October 2025

The following problem is from both the 2012 CEMC Gauss (Grade 8) #2 and 2012 CEMC Gauss (Grade 7) #3, so both problems redirect to this page.

Problem

A six-sided die has the numbers one to six on its sides. What is the probability of rolling a five?

$\text{ (A) }\  \frac{2}{6}\qquad\text{ (B) }\ \frac{1}{6}\qquad\text{ (C) }\ \frac{5}{6} \qquad\text{ (D) }\ \frac{3}{6} \qquad\text{ (E) }\ \frac{4}{6}$

Solution

$6$ numbers can be rolled on the die, and there is only $1$ way to roll a five, so the probability is $\boxed{\textbf{ (B) } \frac{1}{6}}$

~anabel.disher

2012 CEMC Gauss (Grade 8) (ProblemsAnswer KeyResources)
Preceded by
Problem 1
Followed by
Problem 3
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
CEMC Gauss (Grade 8)
2012 CEMC Gauss (Grade 7) (ProblemsAnswer KeyResources)
Preceded by
Problem 2
Followed by
Problem 4
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
CEMC Gauss (Grade 7)