Question

Point P is chosen inside square ABCD.

What is the probability that ABP has a greater area than each of triangles BCP and CDP?

Really need help please. An explanation would be appreciated but not required.

Answer 1

Picture?

Answer 2

Sorry I no picture was provided for this problem.

Answer 3

I guess you can make one from the given info:

(Note that this is just an example placement for the point \(P\).)

You want to find the probability that \(A_1\) is greater than \(A_2\), and that \(A_1\) is greater than \(A_3\). Or maybe I'm misinterpreting the "... each of triangles BCP and CDP" part... It could be you need to find the probability that \(A_1>A_2+A_3\).