a) Define independent events A and B
b)If A and B are independent, show that
i) A¹ and B¹ are also independent.
ii) A¹ and B are also independent
c) Given that A and B are events such that P(A) = 2/3 and P(B) = 1/5
i) Find P(AUB) If A and B are mutually exclusive
ii) Find P(AnB¹) and P(A¹UB¹) if A and B are independent
