| Performed
by: Stanley Ko |
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exact probability analysis was performed to derive the
probability distribution of |
| all
points made. The accuracy of the analysis was then verified by a
one-billion roll |
| simulation.
*As the shooter could, in theory, be in
an "infinitely long" streak of making his points |
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sevening out, some approximations were made. However, the error
is estimated to be |
| within
an insignificant 0.000002%. |
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$$
Payoff @ $1.00 - $5.00 Bet |
| #
of "Individual Points" made |
Probability
(%) |
Payoff Odds
|
Contribution (%)
|
$1.00 |
$2.00 |
$3.00 |
$4.00 |
$5.00 |
| 6 |
0.0162435 |
1000
for 1 |
16.24 |
$1000 |
$2000 |
$3000 |
$4000 |
$5000 |
| 5 |
0.163993 |
250
for 1 |
41.00 |
$250 |
$500 |
$750 |
$1000 |
$1250 |
| 4 |
0.879818 |
25
for 1 |
22.00 |
$25 |
$50 |
$75 |
$100 |
$125 |
| Total |
1.0600545 |
|
79.24
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*Above
Payoffs are "and Down". |
| House
Edge = 100% - 79.24% = 20.76% |
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