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I have no idea how to do this:

 

A point (x, y) is randomly chosen such that 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1. What is the probability that y ≤ 2x - 1?

 Jul 5, 2021
 #1
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We  can  solve  this graphically

 

See  here  :   https://www.desmos.com/calculator/zpcbhs2jhw

 

The  first two constraints form  a  1   x 1    square.....area  =   1

 

The  last  equation  forms  a triangle in this square  with  a  base of   (1/2)  and a height of  1

Its  area =  (1/2) (1/2) (1)  =  1/4

 

 

The  probability  is     ( 1/4 )   / 1    =  1/4    

 

 

 

cool cool cool

 Jul 5, 2021

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