Stevegooner
Stevegooner
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November 6th, 2021 at 2:49:02 PM permalink
Can someone please tell me what the odds are if a Jackpot was won on UK Bingo 90 numbers,of a call being made on 2 lines of 5 numbers on 1 ticket in 15 calls when a minimum of 16 calls was needed thanks in advance.
ThatDonGuy
ThatDonGuy
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November 6th, 2021 at 3:31:59 PM permalink
What do you mean by "in 15 calls when a minimum of 16 calls was needed"?
Also, how is a jackpot won?

I assume that, other than the minumum of 16 calls, you are asking what the probability is of a single ticket having two rows of 5 numbers all being called in 15 (or fewer) numbers drawn.
Stevegooner
Stevegooner
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November 6th, 2021 at 4:07:37 PM permalink
Yes I am asking what the probability is of a single ticket having two rows of 5 numbers all being called in 15 (or fewer) numbers normally a full house in the UK is 15 numbers (3 lines of 5) on the same ticket but this was a different game & I was unable to find out the odds of this to happen.
ThatDonGuy
ThatDonGuy
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Stevegooner
November 6th, 2021 at 4:20:54 PM permalink
I get this:

There are C(90,15) = 6,635,869,816,740,560 combinations of 15 balls drawn from 90.
Of these, C(80,5) = 24,040,016 have all of the first and second line numbers called, C(80,5) have all of the first and third line numbers called, and C(80,5) have all of the second and third line numbers called.
However, this counts the one combination of all 15 numbers being called three times.
The total number of winning combinations = 3 x 24,040,016 - 2 = 72,120,046
The probability is 72,120,046 / 6,635,869,816,740,560, or about 1 in 92,011,447.
charliepatrick
charliepatrick
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MrCasinoGamesStevegooner
November 6th, 2021 at 5:59:56 PM permalink
Regular UK Bingo (90 numbers) has 3 lines of 5 numbers. In a set of 6 tickets (1-6, 7-12 etc) you have all 90 numbers.
They are arranged in nine columns, 1-9, 10-19, 20-29,...,80-90 and each card (of three lines) has at least one from each column.
Across the permutation of cards each line is different (this limits the maximum number of cards).

Thus technically it is possible for lots of numbers to be called without any line possible, and similarly for a house. This sometimes happened on a link where a house couldn't be made for a while and when it could, lots of people called.

I have seen lines called in 5 numbers and the earliest house I saw was in the 20s, both of these were linked games.

I haven't been to bingo for a while but back then most games were either {1 line, House} or {1 line, 2 lines, House} but the National was only a {House}.
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