Much has been
written regarding bingo strategies and how to
increase the odds of winning at bingo. To get
an idea of the scope of information available
just go to any internet search engine, type
into the search box bingo strategies
and press the [Search] button. You
will find dozens and dozens of pages with advice
generally with the same information. Many are
excerpts taken from the book How To Win
At Bingo, by Joseph E. Granville
and the English statistician, L. H. C. Tippett.
Much of what they say is fascinating reading
about number theory but may be of little practical
use while playing bingo.
Does
it make a difference which bingo card is chosen?
The important
question many bingo player have about card numbers
are:
- Are there
good cards or bad bingo cards?
- Are there
good or bad bingo numbers?
- Is there such
a thing as good or bad number symmetry on
the card?
If the above
three questions can be proven to be no, then
it can be said that it makes no difference at
all what card you choose, what numbers are on
the card and what positions the numbers are
on the card.
Random numbers
are a listing of numbers which is non repetitive
and satisfies no algorithm. A bingo card has
numbers from 1 to 75 so our random numbers are
within that range. The 75 bingo balls ejected
from the machine should have the following tendency
toward the following patterns:
- There should
tend to be an equal number of number ending
in 1, 2, 3, 4, 5, 6, 7, 8, 9 and 0
- Odd and even
numbers must tend to balance
- High and low
numbers must tend to balance
These are the
three accepted tests for randomness. Unless
the issued numbers achieve these criteria, then
a bias exists and consequently, it is
not a random distribution.
The author of
How To Win At Bingo suggests that when
you choose your bingo cards, look for cards
with no bizarre sequence of numbers. Look for
cards with a random distribution of numbers.
The following illustrations shows two columns
of numbers under the "B" of a bingo
card. The first one would be considered bad
symmetry and the second excellent symmetry.
Card
(A) Bad symmetry? |
Card
(B) Good symmetry? |
B
3
2
5
7
6 |
B
8
4
1
15
12 |
The
numbers permitted under the "B" column
on a bingo card are 1 to 15. If you examine
the first column you will notice that the numbers
are squashed down at the smaller end of the
numbers scale.
Card (A), Bad
symmetry
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
The numbers under
the second column reflect "good symmetry"
and are well distributed over the entire range
of numbers.
Card (B), Good
symmetry
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
Let us call the
cards with a "B" at the top and 5
numbers a complete bingo card. Now play a game
of bingo, five in a row wins. Let us assume
that card "B" the card with "good
symmetry" wins the game.
We know that
when random numbers are called, they will tend
to be well distributed over the entire range
of numbers. Common sense tells us that selecting
numbers that follow this trend sounds reasonable
but... in reality card "A" has the
same winning chance as card "B". Proof
if this is offered by Mr. Jim Loy at
his web site at http://www.jimloy.com/
more specifically under the category Gambling
is his How
To Win At Bingo? web page.
Now we are going
to disguise all the numbers on card "A"
and "B" by topping each number with
masking tape and substituting a new number.
Card
(A)
3 to 8
2 to 4
5 to 1
7 to 15
6 to 12
Card
(B)
8 to 3
4 to 2
1 to 5
15 to 7
12 to 6
The same table
must be used to disguise the numbered balls
in the machine.
We now have disguised
cards that look like this:
Card (A) |
Card (B) |
B
8
4
1
15
12 |
B
3
2
5
7
6 |
If you have not
as yet noticed, you can see that the disguised
card "A" looks just like the original
card "B" and the disguised card "B"
looks just like the original card "A".
Under the masking tape are the valid original
numbers and the fake numbers are marked
on the tape.
If the game had
been run with the disguised numbers card "A"
with bad symmetry would have won the
game. This is valid proof that it makes
no difference which cards you choose and card
symmetry has no influence at all on the outcome
of a game. If you need more proof, visit
Mr. Jim Loy's Bingo
page.
Will
playing more cards increase your chance of winning?
Playing more
cards will increase your chance of winning.
If you are able to see the number of persons
that are playing bingo you should play more
cards if the number of players is low. Your
winning percentage will be higher. You can always
play more cards and win more but each game costs
you more to play with more cards and offsets
any winning. If you are playing a huge jackpot
which attracts many players and your winning
odds are low, you should play few cards. Your
money will also go further.
What
the bingo player should know about the Gambler's
Fallacy
The gambler's
fallacy can be described as the following
misconceptions:
- A random event
is more likely to occur because it
has not happened for a period of
time
- A random event
is less likely to occur because it
has not happened for a period of
time
- A random event
is more likely to occur because it
recently happened
- A random event
is less likely to occur because it
recently happened
Past events have
no influence over future events. Flipping a
coin is a good example because a coin has no
memory. If a coin is flipped once, we know that
the chances of it coming up heads is 50% and
tails 50%. Every time you flip a coin it is
an isolated event and your chances
are 50-50. The gamblers fallacy is thinking
a series of events are connected. He may think
5 heads in a row is a single event that has
influence on the next flip.
If you were given
two quarters, and you were told that the first
quarter has never been flipped, and the second
quarter has been flipped 5 times and came up
five times heads. Do you really believe that
one of the coins chances are not 50-50?
The gamblers
fallacy can be applied to bingo. The bingo universe
is 75 numbers and they all have an equal chance
of being called. If you notice patterns or special
numbers showing up, this does not violate the
concept of randomness. The more you play the
closer will be the equal distribution of numbers.
Use the Simulated Experimental Coin-Toss to prove that the more you toss a coin the closer will be the equal distribution. First enter small number of coin tosses such as: 5, 10, 100, 200 and divide the resulting large number with the smaller. Then enter a large number of tosses such as 1000, 10000, 100000 . Then divide the larger number with the smaller and you will notice the resulting number comes closer to "1" or equal distribution.
Lady
Luck
For many, luck
is the chance happening of fortunate or adverse
events. It is an unknown and unpredictable phenomenon
that leads to a favorable or unfavorable outcome.
A religious person may believe that the will
of a supreme being rather than luck
is the primary influence in future events. In
the past, some religions practiced human sacrifice
to please the gods an improve their luck. Many
culture have strong believe in lucky or unlucky
numbers. Many bingo players today have rituals
that they practice before playing bingo, have
lucky objects, lucky clothes, lucky dobers etc.
Continue learning about online bingo: Bingo
chat acronyms |