Help with a Bingo blackout probability question
Join Date: Aug 2005
Posts: 10,288
Hello,
In some Bingo games, they will pay a large bonus if a "blackout" Bingo is achieved in under a set number of turns. A Bingo game I recently witnessed paid a $10k prize if someone achieved a Blackout Bingo in 46 numbers or less. The free space does count towards the blackout bingo if it matters.
A blackout Bingo game is one in which a players whole bingo card must be blacked out by having every bingo number on it called to win. There are 75 total numbers in a standard game of Bingo, and 24 numbers per card that must be called to win.
So 2p2 geniuses, what are the odds of getting a blackout Bingo in 46 called numbers or less? Thanks for any help.
Join Date: Aug 2011
Posts: 5,081
C(46,24) / C(75,24) ≈ 1 in 3,267,109
