Fun Tiger hypothetical

[BadBoyBenny]

Assume you are playing Tiger on your normal course and he is hitting into a normal cup at typical pin positions. You are playing the same holes, but when you hit a different (larger) cup magically appears on the green as your goal.

How large in diameter would your cup have to be until you are an even money bet with Tiger?

Assume that you get no weird bounce outs because of the larger cup, and that the green becomes pristene when Tiger has to play. Please state your handicap or typical score with your answer.