You cannot necessarily just decide to think of something random which would be required in order to be unpredictable.
Presented with this scenario, I’d come up with a scheme describing a table of as many different options as I could manage—ideally a very large number, but the combinatorics would probably get unwieldy after a while—and pull numbers from http://www.fourmilab.ch/hotbits/ to make a selection. I might still lose, but knowing (to some small p-value) that it’s possible to predict radioactive decay would easily be worth $100.
Presented with this scenario, I’d come up with a scheme describing a table of as many different options as I could manage—ideally a very large number, but the combinatorics would probably get unwieldy after a while—and pull numbers from http://www.fourmilab.ch/hotbits/ to make a selection. I might still lose, but knowing (to some small p-value) that it’s possible to predict radioactive decay would easily be worth $100.
Of course, that’s the smartassed answer.
Well the smartarse response is that Omega’s just plugged himself in on the other end of your hotbits request =p