Question

Bart found 20 quadrilaterals in his classroom. He made a Venn diagram using the properties of the quadrilaterals, comparing those with four equal side lengths (E) and those with four right angles (R).

Circles E and R overlap. Circle E contains 3, circle R contains 6, and the intersection contains 2. Number 9 is outside of the circles.

Given that a randomly chosen quadrilateral has four right angles, what is the probability that the quadrilateral also has four equal side lengths? Express your answer in percent form, rounded to the nearest whole percent.

25%
33%
40%
67%

Answer 1

We want P(E | R) = (number with both E and R) / (number with R). The intersection has 2 and R has 6 (R-only) + 2 (intersection) = 8, so P = 2/8 = 1/4 = 25%.