Section 1.

78. Roulette game always has a 50:50 chance. Let's first analyse why the odds
are the same each spin of the wheel even if the outcomes even out over a
long run. In order to simplify the calculations, we will assume that the
roulette wheel has no zeros, just 18 red and 18 black slots.
Consider this:
In, say, 1,000,000 roulette spins you would have in theory 500,000 reds
and 500,000 blacks appearing. Now, we know they don't come up in turns
one at a time, that is, you would expect to see two, three, four or more in a
row in either colour to appear. For this analysis we will consider the 'eight
blacks in a row sequence' as the typical example.
If you were to count all the occurrences of eight blacks in a row FOLLOWED
BY A RED, you will find an equal number of occurrences of eight blacks in a
row FOLLOWED BY A BLACK (9 blacks in a row). You will also find an equal
number of eight reds in a row in the same way making the total number of
blacks and reds equal. If you have a computer roulette simulator, try it out.
This means that of the 'eight blacks' sets there are 50% eight blacks in a
row FOLLOWED BY A RED and 50% eight blacks in a row FOLLOWED BY A
BLACK. The same applies to the 'eight reds' sets. Therefore if you bet red
after eight blacks in a row or if you bet black after eight reds in a row, you
will have a 50:50 chance of getting it right.
This is true no matter how many times black or red come up in a row,
because for every occurrence of, say, 8, 10 or 20 blacks in a row
FOLLOWED BY A RED there will be one with 8, 10 or 20 blacks in a row
FOLLOWED BY A BLACK. You just don't know which of the two sequences
will come up first.
Raymond Lai, http://www.101roulettewinningtips.com
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