Jack and John 2 vegans, after getting a job, go to a casino. There are two games in the casino:

Game A : Both the players run a machine and get a number each. If both numbers have $2$ and $3$ as their only common prime factors (Mathematically if $a = 2^u3^v * x$ and $b = 2^w3^z * y$ with $(x, y)$ = $1$) , then they get $2$ points. Else they get no points.

Game B : Both have a $6 mm$ matchstick. They throw it together on a large rules page, where the distance between each line is $6 cm$. On landing each matchstick will either cut a line or not. They get $1$ point if both the matchsticks cut any line.

If prize pool of Game A is $1000$ dollars, then what should be the prize pool of B such that both have equal winnings if initial cost is same.