Math

[ronkip]

A point (x, y) is randomly chosen such that 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1. What is the probability that y ≥ 4x?

[Rhino (╯﹏╰)]

A point (x, y) is randomly chosen such that 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1. What is the probability that y ≥ 4x?

If x ≤ 0.25y and y is not zero it’s 100% probable to have y ≥ 4x.


Please verify, I’m relying old memory.

[Ghosts]

It's 12.5%. Explanation in the tinypic because attachments shrunk my picture. http://i42.tinypic.com/2cp4zld.jpg

Pretty much, draw your lines first, then the line y = 4x. Anything that is greater than 4x is above the line and if y is less than or equal to 4x, you can image a ton of dots being below the line. What you want to do is find an area, that is above the line 4x and caught in between the boundaries mentioned.

I did an answer check as well, but it's not necessary for you to use it.

[Creed101]

I Dislike Math.

[_Zanda_]

I Dislike Math.

I like it, abit.

[KaLaBoRaTiVe.]

This has befuddled my mind. I will go with Ghost's answer.. ;___;
but how come you divided the area of the triangle over 1? I didn't get that part..

[MathBoy]

This is so easy