Example:

First Throw		Second Throw
First dice	4	First dice	6
Second dice	5	Second dice	3
Third dice	2	Third dice	1
	Yes A triangle can be constructed.		No It is impossible to construct a triangle.
One dice missing!

Part One
What is the probability that a triangle can be constructed from the three line segments whose lengths are determined by tossing the three dice?

Make a guess.

Part Two
Toss three dice 100 times and keep a record of how many triangles you can create. How does this experimental result compare with your prediction?

Part Three
This problem can be solved by making a list of all of the outcomes. You may want to use a table...

It will need to be a big table as there are over 200 possibilities!

Answer

The idea for this investigation came from The Maths' Connection published by Family Maths Trust