February 20th, 2020 at 8:24:32 AM
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Planning a Bonanza style bingo fundraiser (sort-of), but need statistics -- please help!

- I have 3000 1on cards (given to me for free) and I want to use them to raise money

- I plan on pre-drawing 20 to 25 bingo numbers (depending on your advice) and selling the cards after the numbers are drawn

- I plan on using them at an event that annually brings approx. 400 people (but I know not everyone will buy a card)

What I need to figure out is;

- How many cards do I need to sell at & what price to make a profit for my non-profit organization

- How many bingo numbers I should pre-draw (20-25?)

- How many cards will get a straight line bingo in how many cards sold, which will indicate how much I should offer as a prize.

I know that there are A LOT of variables in this question, so I know that the answer will not be precise... I just don't want to loose money over-all.

Any info you can give would be greatly appreciated!!!

- I have 3000 1on cards (given to me for free) and I want to use them to raise money

- I plan on pre-drawing 20 to 25 bingo numbers (depending on your advice) and selling the cards after the numbers are drawn

- I plan on using them at an event that annually brings approx. 400 people (but I know not everyone will buy a card)

What I need to figure out is;

- How many cards do I need to sell at & what price to make a profit for my non-profit organization

- How many bingo numbers I should pre-draw (20-25?)

- How many cards will get a straight line bingo in how many cards sold, which will indicate how much I should offer as a prize.

I know that there are A LOT of variables in this question, so I know that the answer will not be precise... I just don't want to loose money over-all.

Any info you can give would be greatly appreciated!!!

February 20th, 2020 at 9:25:35 AM
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Maybe somebody with more time on his hands will help, but I think this is the kind of thing you should be paying to get an answer for.

"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)

February 20th, 2020 at 5:14:56 PM
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These numbers seem a bit low, but I ran 20 million games on a single card to see how many balls it would take for that card to get a 5-in-line (with center space free) Bingo:

Note that each number is for that many balls or fewer

Also remember that this is for just one card

Balls | Bingo Prob |
---|---|

10 | 1 / 1232.058 |

11 | 1 / 767.165 |

12 | 1 / 502.361 |

13 | 1 / 340.038 |

14 | 1 / 237.02 |

15 | 1 / 170.478 |

16 | 1 / 125.404 |

17 | 1 / 93.93 |

18 | 1 / 71.62 |

19 | 1 / 55.525 |

20 | 1 / 43.718 |

21 | 1 / 34.82 |

22 | 1 / 28.081 |

23 | 1 / 22.87 |

24 | 1 / 18.823 |

25 | 1 / 15.632 |

Note that each number is for that many balls or fewer

Also remember that this is for just one card

February 21st, 2020 at 7:37:42 AM
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That's awesome!!!! So if I understand; if I called 21 numbers then 1 in every 35 cards would get a bingo?

February 21st, 2020 at 3:44:15 PM
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Quote:JuanitaKelly214That's awesome!!!! So if I understand; if I called 21 numbers then 1 in every 35 cards would get a bingo?

Well, sort of - but you have to remember that it's "1 in 35 cards" if you call 21 numbers even if somebody has a bingo in 20 or fewer.

I assume that, if there is a tie, any prize is split, or there's some sort of drawing for it, so you're only really interested in whether or not anybdy gets a bingo - not necessarily how many.

If there are 100 cards in a game, the probability that nobody gets a bingo in 21 numbers is (1 - 1/34.82)

^{100}= about 1 / 18.43.

February 24th, 2020 at 7:40:05 AM
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Actually I plan to use the bingo cards as a sort of form of lottery. The numbers on their card are the numbers they are playing in the lottery.... the numbers I pre-call are the actual lottery numbers... the player has to be able to cover 5 numbers in a row (or 4 with the free space) in order to win a prize, so I need to know how many of those cards will win a prize so I can determine how much I need to charge for each card in order to make money for my non-profit. SO if I know that 1 in every 35 cards will statistically get a bingo, then I know that I need to make the cost per card more than the payout for 3 in every 100 cards. At least that's what I'm guessing.