Alice and Bob each choose at random a number between zero and one. We assume a uniform probability law under which the probability law under which the probability of an event is proportional to its area. Consider the following events:

A: The magnitude of the sum of the two numbers is greater than 2/3

B: At lest one of the numbers is greater than 2/3

C: The two numbers are equal

D: Alice's number is greater than 2/3

Find the following probabilities:

a) Pr(A)

b) Pr(B)

c) Pr(A∩B)

d) Pr(C)

e) Pr(A∩D)

ok for each part i guess i draw up a venn diagram? but i'm not entirely sure because the question is worded differently from the questions i've had before.

Could anyone help me understand the line "We assume a uniform probability law under which the probability law under which the probability of an event is proportional to its area."

Not looking for a cheat just a way to start it.