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August 2nd, 2016, 12:30 AM  #1 
Newbie Joined: Aug 2016 From: Italy Posts: 3 Thanks: 0  help for bingo game
Hello everyone , I have to handle the mathematical part of a game similar to bingo / keno . There are 48 numbers total . It is extracted only 35 . players choose a minimum of 6 and maximum of 10 numbers . to win you have to guess a minimum of 6 numbers. I have to make sure that the winnings do not exceed 95% of the player total . in the case in which the winnings exceed 100 % of the player total , I have to find the 35 numbers to be extracted so that the winnings are zero or the minimum possible . tips ? thank you so much donkmath 
August 2nd, 2016, 01:20 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,617 Thanks: 2072 
If a player wins, how much do they win?

August 2nd, 2016, 01:32 AM  #3 
Newbie Joined: Aug 2016 From: Italy Posts: 3 Thanks: 0 
every number drawn has a fixed odds, the first 5 have zero odds, the sixth issue onwards , the odds ranging from 10,000 to 1 . The win is calculated by multiplying the amount wagered for the odds last number drawn between the numbers played . 
August 2nd, 2016, 02:04 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,617 Thanks: 2072 
I doubt that your question can be answered without knowing more. Also, choosing the 35 numbers so as to minimize the total won is contrary to the spirit of Bingo.

August 2nd, 2016, 08:06 AM  #5 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,412 Thanks: 1024 
BINGO! ===== The numbercaller announced: under the G...n! Gertrude, Josephine and Waltzing Mathilda all yelled "BINGO!". Happens that all 3 filled the top line of their bingo cards. The 15 numbers are all odd, plus numbers under each letter are like this: B: > 10 and none equal I: < 20 N: > 40 and none equal G: > 50 (and all equal!) O: > 70 and none equal I ask you: what is the n the numbercaller announced with the G ? You reply: can't tell; gimme a clue. I then say unto you: well, make S the sum of the 15 numbers; the sum of S's digits is equal to this digit here. You reply: that's nice; but need another clue. I then generously clue you again: well, now make S the sum of the 3 numbers under I; the sum of S's digits is equal to this digit here. And you triumphantly announce: GOTTIT! What was the "n" under the G ? 

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