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

(a) the first is black
(b) both are the same colour
Given that
(1) it is without replacement
(2) it is with replacement

(a) Without Replacement: The probability that the first ball is black is 5/11.

(b) Without Replacement: The probability that both balls are the same color is 25/121.

(a) With Replacement: The probability that the first ball is black is 5/11.

(b) With Replacement: The probability that both balls are the same color is 11/121.