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where all the fun is.Online bingo is the game of bingo (US|UK)
played on the Internet. Online bingo is a multi billion dollar
business.
Unlike balls used in regular bingo halls, online bingo sites use a
random number generator. Online bingo halls usually offer online
casino games as well as the bingo, but the actual bingo play works
almost exactly like playing online poker or online casino games,
with everything being virtual. One notable feature of online bingo
is the chat functionality. Successful online bingo sites foster a
sense of community and interaction between players.
Getting started
Some operators require players to download free software to play
their games. Other operators use Java or Flash based games that
allow you to play immediately online after registering a player
account.
To win the largest prizes, users must fund an account, but free
bingo games are also available offering players a way to win smaller
amounts of money with no risk of gambling. Some online bingo sites
offer no deposit bingo with sandbox play. This will allow the player
to get the hang of the system without a cash investment, but no
monetary value can be gained.
Most sites accept a standard range of e-wallet funding options, such
as Neteller, Firepay, Citadel, and PrePaidATM. Sites often provide a
number of incentives to deposit, including matching bonuses where
the site will reward depositing players by matching a percentage of
their deposit.
How to play
Bingo is one of the easiest games to play and the online version is
no different. Playing bingo online, players can make use of optional
features which make playing the game easier, such as auto-daub.
Auto-daub automatically marks off the numbers on cards as they are
called, so players don't have to. Most software providers support
other gaming features as "Best Card Sorting" and "Best Card
Highlighting" where players cards are sorted and highlighted by
closest to bingo. Some of these features are designed to free
players to enjoy the communal pleasantries of the chat features.
How To Win At Bingo?
© Copyright 1997, Jim Loy
I bought a book called How To Win At Bingo,
by Joseph E. Granville. The author says he can "increase the odds in
your favor up to 50%." I suppose he means that whatever your
expected return is normally (certainly less than $1 for every dollar
you invest in Bingo), that this book may improve this expected
return to near 1.5 times that amount (probably over $1) In other
words, he suggests that you will make a profit.
The idea is to choose your Bingo cards so that the
numbers on the cards do not have bizarre, unlikely sequences on
them. Examples:
card A card B
B I N G O B I N G O
2 24 36 51 63 8 29 34 56 75
3 18 39 49 64 5 24 31 46 69
6 22 xx 50 66 1 23 xx 60 68
7 16 31 47 61 12 16 45 59 62
5 20 35 60 65 15 17 42 54 61
Card A has what the book calls "bad symmetry." The
numbers are mostly clustered around the low numbers for each column.
Card B has "excellent symmetry." The numbers are distributed much
like the random distribution that you would expect from the random
Bingo machine.
This all sounds reasonable, in a common sense kind
of way. But it is complete foolishness, mathematically.
Every card has the same exact chances, as any
other card. "Excellent symmetry" will not help you at all. A card
that is all low numbers in order has the same winning chances as any
other card:
B I N G O
1 16 31 46 61
2 17 32 47 62
3 18 xx 48 63
4 19 33 49 64
5 20 34 50 65
That is what mathematics says about Bingo.
Normally, I tend to pontificate, and wonder why
people don't believe me. Well, let me try to prove what I'm saying
about Bingo:
Proof #1: To simplify the situation, let's invent
smaller B(ingo) cards:
card X card Y
B B
1 12
2 5
3 7
We will choose numbers between 1 and 15, and 3 in
a row wins. According to the spirit of the book, card X has "bad
symmetry," while card Y has "good symmetry."
Which B(ingo) card is more likely to get the first
hit? Mathematics says that every number is equally likely. The
author of the book does not dispute this. 1 is as likely as 7. In
fact the odds are 1/15 that any given number will be chosen on the
first pick.
Well, then it must be the later picks which make X
a bad card. For the purposes of this proof, let's assume that we are
tied with one hit each (3 & 12) after 4 picks.
card X card Y
B B
1 X
2 5
X 7
The book might now argue that 2 or 1 are now not
very likely. True. Very true. But 5 or 7 are also not likely. No
combination of two specific numbers is very likely. In fact
the chance of hitting a 1 (or a 5 or any other number) is now 1/11.
I can continue to argue that in all future
situations (including when we are tied with two hits each), the
actual numbers on the cards do not matter.
This proof (informal as it is) is valid. But it
may not convince many people. Some people "know" that a 1 is not as
likely as a 7, even though mathematics says it is. This is similar
to the
Gambler's Fallacy. In both cases, a person's hunches are more
believable (to them) than actual reasoning.
Proof #2: Let's play real bingo, this time. You
can have card B, while I will choose a made-up card C, chosen so
that it has no numbers in common with card B. Card C is even more
asymmetric than card A:
card C card B
B I N G O B I N G O
2 18 32 47 63 8 29 34 56 75
3 19 33 48 64 5 24 31 46 69
4 20 xx 49 65 1 23 xx 60 68
6 21 35 50 66 12 16 45 59 62
7 22 36 51 67 15 17 42 54 61
But now, we are going to disguise all of the
numbers in our Bingo game. A 2 becomes an 8, a 3 becomes a 5, etc.,
based on this table:
1 » 4 16 » 21 31 » 33 46 » 48 61 » 67
2 » 8 17 » 22 32 » 34 47 » 56 62 » 66
3 » 5 18 » 29 33 » 31 48 » 46 63 » 75
4 » 1 19 » 24 34 » 32 49 » 60 64 » 69
5 » 3 20 » 23 35 » 45 50 » 59 65 » 68
6 »12 21 » 16 36 » 42 51 » 54 66 » 62
7 »15 22 » 17 37 » 37 52 » 52 67 » 61
8 » 2 23 » 20 38 » 38 53 » 53 68 » 65
9 » 9 24 » 19 39 » 39 54 » 51 69 » 64
10 »10 25 » 25 40 » 40 55 » 55 70 » 70
11 »11 26 » 26 41 » 41 56 » 47 71 » 71
12 » 6 27 » 27 42 » 36 57 » 57 72 » 72
13 »13 28 » 28 43 » 43 58 » 58 73 » 73
14 »14 29 » 18 44 » 44 59 » 50 74 » 74
15 » 7 30 » 30 45 » 35 60 » 49 75 » 63
We also use the same table to disguise all of our
numbered balls which the machine will choose. Here are our disguised
cards:
card C' card B'
B I N G O B I N G O
8 29 34 56 75 2 18 32 47 63
5 24 31 46 69 3 19 33 48 64
1 23 xx 60 68 4 20 xx 49 65
12 16 45 59 62 6 21 35 50 66
15 17 42 54 61 7 22 36 51 67
As you can see, our disguised card B' looks just
like our old card C. And C' looks like B. But they are not the old
cards. Under our fake numbers are the old numbers. We are just using
a code (a substitution cipher) for each number.
Well, by the definition of "symmetry" in the book,
we find that C' now has "good symmetry" and B' now has "bad
symmetry." And now, C' is much more likely to win (according to the
book) than B'. That IS a contradiction. The book says that
each card is both a better bet, and a worse bet.
Think about it. This IS a valid (but
informal) proof.
Proof #3: For you die-hards, here's a third proof.
I will play 10,000 games (on my computer) using only cards A and B,
and see if one scores significantly better than the other.
OK, the results are in. After 10,000 games, card A
won 4911 to 4865, with 224 ties. But, it's pretty even. Statistics
shows that this data supports my hypothesis that the two cards have
equal chances to win. And it does not support the alternative
hypothesis that B is better than A. Incidentally, B should outscore
A about half the time. This test definitely shoots down any 50%
improvement in the odds, which the author claimed.
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