MHT CET 2024 Mathematics question

A bag contains 4 red and 3 black balls is. 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 probability distribution of X is given by

• (A)x = 0, 1, 2, 3 with P(x) = , , , respectivelyCorrect
• (B)x = 0, 1, 2, 3 with P(x) = , , , respectively
• (C)x = 0, 1, 2, 3 with P(x) = , , , respectively
• (D)x = 0, 1, 2, 3 with P(x) = , , , respectively