Question

A point is randomly chosen in the triangle shown below.
A triangle with a smaller square inside. The square and most of the triangle are shaded blue.

Which statement is true about the likelihood of the location of the point in the triangle?
The point is likely to be in the blue region.
The point is likely to be inside the square.
The point is unlikely to be inside the triangle.
The point is certain to be outside the square.
A B C or D

Answer 1

A.

Since the point is chosen uniformly from the triangle and "most of the triangle" is shaded blue (including the square), the blue area is more than half the triangle. So the point is more likely than not to land in the blue region.