+0  
 
+1
499
2
avatar+486 

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.

 

Please show your work!!!

 Apr 4, 2021
 #1
avatar+605 
+2

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
 #2
avatar+486 
+1

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

RiemannIntegralzzz  Apr 4, 2021

4 Online Users