MHT CET 2022 Mathematics question

A bag contains 4 red and 3 black balls. One ball is drawn and then replaced in the bag and the process is repeated. Let X denote the number of times black ball is drawn in 3 draws. Assuming that at each draw each ball is equally likely to be selected, then the probability distribution of X is given by

• (A)X: 0, 1, 2, 3 ; P(X): , , ,
• (B)X: 1, 2, 3 ; P(X): , ,
• (C)X: 0, 1, 2, 3 ; P(X): , , ,
• (D)X: 0, 1, 2, 3 ; P(X): , , , Correct