You meet a billionaire known for his logic. He makes two offers:
You make any statement you want. If the statement is true, you get exactly 10 dollars. If the statement is false, you get either less than or greater than 10 dollars, but not exactly 10 dollars.
You make any statement you want. Whether your statement is true or false, you get more than 10 dollars.
Which offer should you take? The solution is here.
Taking the first offer is even better. See the solution post.
Offer #2 will always get more than $10