Question

What is the probability that a point chosen at random in the triangle is also in the blue square?

A blue square inside of an unshaded triangle. The triangle has a base of 9 inches and height of 6 inches. The square has side lengths of 3 inches.
StartFraction 1 over 6 EndFraction
One-third
One-half
1

Answer 1

Probability = area(square) / area(triangle).

Area(square) = 3^2 = 9.
Area(triangle) = (1/2)·9·6 = 27.
Probability = 9/27 = 1/3.

Answer: One-third.