What is the probability that his son will not get a ball in the first draw?

Directions: Read the following information and answer the given question.

Amit has a big jar. He puts 12 white, 10 grey and 20 black balls in it. He is playing a game with his son, his neice and his brother. He decides that he will randomly pick a ball from the jar, and when he draws a white ball, he will give it to his neice, grey ball to his brother and black ball to his son. He will continue doing so till the jar has been emptied. The person with the maximum balls will win.