Hello candidate,

In the given question, mention that a bag contains 5 black, 6 white, and 7 red balls out of which 4 balls are drawn at random.

Let X equal to 0, so the probability distribution will be-12C4, where C refers to combination.

Let X equal to 1, so the probability distribution will be- 6C1 ×12C3, where C refers to combination.

Let X equal to 2, so the probability distribution will be- 6C2 ×12C2, where C refers to combination.

Let X equal to 3, so the probability distribution will be- 6C3 ×12C1, where C refers to combination.

Let X equal to 4, so the probability distribution will be- 6C4, where C refers to combination.

Hope that it helps!!