Art Benjamin, Harvey Mudd College

The BINGO Paradox

Paradoxically, when a large number of people play BINGO, it is much more probable that the
winning card has a horizontal BINGO instead of a vertical BINGO. We prove this result in the
asymptotic case that when every possible BINGO card is being used, then horizontal wins beat
vertical wins by a better than 3-to-1 margin.