Question

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

Answer 1

The probability that a point chosen at random in the triangle is also in the blue square can be calculated using geometrical definition of the probability:

$Pr=\dfrac{\text{desired area}}{\text{total area}}.$

1. Find the total area of the triangle:

$A_{total}=\dfrac{1}{2}\cdot 6\cdot 9=27\ in^2.$

2. Find the desired area of the square:

$A_{desired}=3\cdot 3=9\ in^2.$

Then the probability is

$Pr=\dfrac{9}{27}=\dfrac{1}{3}.$

Answer: correct choice is B