2001 CEMC Gauss (Grade 8) Problems/Problem 8
- The following problem is from both the 2001 CEMC Gauss (Grade 8) #8 and 2001 CEMC Gauss (Grade 7) #11, so both problems redirect to this page.
Problem
A fair die is constructed by labelling the faces of a wooden cube with the numbers
An image is supposed to go here. You can help us out by creating one and editing it in. Thanks.
Solution 1
We can find how many times an odd number appears and divide it by the total number of sides on the die, as every number is equally likely.
There are numbers in total, and
of them are odd. Thus, the probability that the number rolled is odd is
.
~anabel.disher
Solution 2
Since all of the numbers are integers, we can find the probability that we get an even and subtract it from .
There are numbers in total, and
is the only even number, with
occurrence. Thus, the probability that the number rolled is even is
.
Subtracting this from to find the probability of rolling an odd, we get:
~anabel.disher
2001 CEMC Gauss (Grade 8) (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
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) |
2001 CEMC Gauss (Grade 7) (Problems • Answer Key • Resources) | ||
Preceded by Problem 10 |
Followed by Problem 12 | |
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) |