Assume that P (A) = P (B). Show that A = B

Question

Philoid · Accepted Answer

We have to show that: A = B

Let us now assume, P (A) = P (B)

Let,

∴

Now, we have:

C ⊂ B

∴

∴ A ⊂ B

Similarly, we have:

B ⊂ A

∴ A = B