A bag contains 6 red balls and 5 black balls,2 balls are picked,one after the other,find the probability that

(a) both are black
(b) the first is black
(C) both are the same colour
Given that
it is with replacement

(a) The probability that both are black is 5/11 * 4/11 = 20/121.

(b) The probability that the first is black is 5/11.

(c) The probability that both are the same colour is 11/11 * 10/11 = 100/121.