An urn contains four balls numbered 1, 2, 3, 4. They are drawn one after another without replacement. If A t is the event that the /th ball appears at the ith draw, i = 1,2,3,4: _ _ (a) Show that A x...

An urn contains four balls numbered 1, 2, 3, 4. They are drawn one

after another without replacement. If A t is the event that the /th ball

appears at the ith draw, i = 1,2,3,4: _ _

(a) Show that A x H A 2 fl A3C A4; A xPi A2fl A3C A 4.

(b) Find each of the following sets.

A x U A 2 U A3 U A4; ( Ax H A 2) U ( A3 Pi A 4);

(Ax u a 2) n (a 2 u a 3).