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# Using Geometry in Probability

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A point $(x,y)$ is randomly selected such that $0 \leq x \leq 3$ and $0 \leq y \leq 6$. What is the probability that $x + y \leq 4$? Express your answer as a common fraction.

Apr 4, 2021

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Graph it: https://www.desmos.com/calculator/9rbnk7rx1s

The trapezoid is a triangle + a rectangle. The probability is $\frac{\text{area of trapezoid}}{3*6}$

Apr 4, 2021
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Thank you again! I got $\frac{5}{12}$ and it was correct!

RiemannIntegralzzz  Apr 4, 2021