Inspired by https://www.youtube....h?v=ud_frfkt1t0 I made a program/game.

You think of two **positive** numbers. No limits in how big they can be as long as you can type them in the calculator. They can be integers, reals, whatever. Just make sure you know which number is the first one, and which one is the second one that you thought of. Eg. the first number can be 190 and the second number can be 42.

Then the program will ask you to give it one of this two numbers. Eg it will ask for the second number, so you will type in 42.

Then the program will make a prediction, either it will say that this is the smallest of the two numbers, or it will say that it is the biggest. It will ask you whether the prediction was correct so that it can keep score.

The "paradox" is that the calculator will have >50% score when you'd expect that there is no way to be more than 50% correct in such a game. Check the video for an explanation on why this is possible.

0➔W:0➔T:0➔A Lbl 0 50➔G T⇒(0.5+Ran# )x(A÷T)➔G "THINK OF 2 NUMS"◢ If RanInt#(0,1):Then "WHAT IS THE 2ND"?➔N Else "WHAT IS THE 1ST"?➔N IfEnd "IS THIS THE" If N<G:Then "SMALLEST ONE?" Else "BIGGEST ONE?" IfEnd "1=YES 0=NO"?➔R R=1⇒W+1➔W T+1➔T A+N➔A "WIN RATIO:" W÷T◢ Goto 0

**Edited by Tritonio, 11 September 2019 - 10:12 PM.**