57 Tens
Prior to computers on the keno games, off duty keno writers would
pool their funds and play this ticket at a nearby casino just to watch
those employees sweat. The ticket is played by marking three groups of
three, three groups of two and three kings.
When checking the "Heinz
57", the first step is to locate the 57 tens. List each group of the
ticket at the top of a blank piece of paper, like this: GROUPS = 3 - 3
- 3 - 2 - 2 - 2 - 1 - 1 - 1
Ask yourself, how can I make a ten using the largest groups first.
The first combination that makes 10 is: 3 + 3 + 3 + 1 = ten spots
This is the only way to make ten using ALL THREE of the groups of
three, so next, find all the ways to make ten using TWO groups of three:
3 + 3 + 2 + 2 = ten spots
3 + 3 + 2 + 1 + 1 = ten spots
Find all the ways to make a ten using ONE group of three.
3 + 2 + 2 + 2 + 1 = ten spots
3 + 2 + 2 + 1 + 1 + 1 = ten spots
With
ZERO groups of three there are only nine spots left on the ticket ( 2 +
2 + 2 + 1 + 1 + 1 = 9 ), so we have located all the combinations that
make ten. Next, go back thru each combination calculating how many ways
are present.
GROUPS = 3 - 3 - 3 - 2 - 2 - 2 - 1 - 1 - 1
3 - 3 - 3 - 1 = 3 ways to make ten
3 - 3 - 2 - 2 = 9 ways to make ten
3 - 3 - 2 - 1 - 1 = 27 ways to make ten
3 - 2 - 2 - 2 - 1 = 9 ways to make ten
3 - 2 - 2 - 1 - 1 - 1 = 9 ways to make ten
total = 57 ways to make ten
The easy part is now done. We have determined that this is a 57 way
ten. The more difficult step is figuring a winning catch. I'll show you
one example.
After the winning numbers are called mark the catch of each group under your listing of the groups, like so:
GROUPS = 3 - 3 - 3 - 2 - 2 - 2 - 1 - 1 - 1
catch = 3 - 2 - 1 - 2 - 1 - 0 - 1 - 0 - 0
Find each of the tens on the top line and add together the catches below.
The first combination (3 + 3 + 3 + 1) yields one seven out of ten and two six out of tens.
A - B - C X - Y - Z
GROUPS = 3 - 3 - 3 - 2 - 2 - 2 - 1 - 1 - 1
catch = 3 - 2 - 1 - 2 - 1 - 0 - 1 - 0 - 0
The first ten is A + B + C + X = 7.
The second ten is A + B + C + Y = 6.
The third ten is A + B + C + Z = 6.
I did the first three ways for you ...... you can do the other 54.
The final results ( all 57 ways ) of the sample catch are:
3 - 8 out of tens
15 - 5 out of tens
10 - 7 out of tens
9 - 4 out of tens
18 - 6 out of tens
2 - 3 out of tens
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