You choose a point(X,Y)

(X,Y)uniformly at random in the unit square

S={(x,y)

2

:0x1,0y1}.

S={(x,y)R2:0x1,0y1}.

LetA

Abe the event{(x,y)S:|xy|1

2

}

{(x,y)S:|xy|12}andB

Bbe the event{(x,y)S:yx}

1. {(x,y)S:yx}.Show setsA
2. AandB
3. Bin the x-y plane.
4. FindP(A)
5. P(A)andP(B)
6. P(B).
7. AreA
8. AandB
9. Bindependent?