Hello, I've encountered a question during my m.a statistics course that I'm having a real time solving. The question goes like this:

There's the following game: two balls are randomly chosen (without return) from a vase that contains 7 black balls, 3 white and 2 orange. For every black ball chosen, u get a dollar and for ever white ball chosen, u lose a dollar. If u an orange ball was chosen, u neither loose nor gain money.

a man decides to play this game until he will receive 0 profit twice. what is the probabilty of him playing this game more than 4 games?