NAME:__________________ NUMBER:_______
NAME:__________________ NUMBER:_______
Ontario Mathematics Olympics 2017
CONSTRUCTING MATHEMATICS
Paired activity #2
Probability Task
/56
You roll 3 six-sided dice. The numbers that you roll will represent side lengths. Determine the
probability that the three lengths can form:
a)
b)
c)
d)
e)
f)
g)
a)
An equilateral triangle;
An isosceles triangle (excluding equilateral triangle);
A scalene triangle;
A right-angled triangle;
An obtuse triangle;
Any triangle;
No triangle.
An equilateral triangle [8 marks]
Sample Diagram
Explanation
(Justify your sample)
List equilateral triangles.
How many are there?
Probability of
getting an
equilateral triangle
1
b)
An isosceles triangle (excluding equilateral triangle) [8 marks]
Sample Diagram
Explanation
(Justify your sample)
List isosceles triangles.
How many are there?
Probability of
getting an isosceles
triangle
2
c)
A scalene triangle [8 marks]
Sample Diagram
Explanation
(Justify your sample)
List scalene triangles.
How many are there?
Probability of
getting a scalene
triangle
3
d)
A right-angled triangle [8 marks]
Sample Diagram
Explanation
(Justify your sample)
List right-angled
triangles.
How many are there?
Probability of
getting a rightangled triangle
4
e)
An obtuse triangle [8 marks]
Sample Diagram
Explanation
(Justify your sample)
List Obtuse triangles
How many are there?
Probability of
getting an obtuse
triangle
5
f)
Any triangle [8 marks]
Sample Diagram
Explanation
(Justify your sample)
How many are there?
Probability of
getting any triangle
6
g)
No triangle [8 marks]
Sample Diagram
Explanation
(Justify your sample)
List no triangles.
How many are there?
Probability of no
triangle
7