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Odds Of Hitting Three Royal Flushes In a Row

Dear Mark,
In one of your most recent columns, you spoke of someone who possibly might have hit three royal flushes in a row. What you didn’t mention was what the odds were of such an feat happening. Also, wouldn’t some of the long shot keno tickets be just as tough to hit as three royals in a row? Frank L.

Oops, an omission on my part, Frank. Sorry. The odds of hitting three royals in a row are 32.8 trillion to one.
As to comparing three consecutive royals to a long shot keno ticket, it would depend on how many numbers you are trying to hit solid. Take
for example a 15-spot. Chances of hitting this critter are approximately 428 billion to one. Though easier to hit than three consecutive royals,
to my knowledge nobody has ever hit a 15-spot, ever, ever, ever.

Then, Frank, there’s a beauty they call a “Special Bonus” ticket, where you
try to hit 19 out of 20. Try the improbable odds of two quadrillion, 946 trillion, 096 billion, and 780 million to one. If you were to play this ticket
every second, of every day, according to those fun laws of probability, you will catch 19 out of 20 once every 93,420,116 years. How’s the
longevity in your family, Frank?
Just this past week an Old School 38-year veteran of the keno wars, Art Simpson, stopped by for a quick visit on his way to a Marine reunion.
Art worked his entire gaming career in six N. Nevada casinos, all in keno. I asked him; “Art, what ticket, with the most spots hit solid, have you
ever paid on?”
“A fair share of nine spots,” he replied,” but never a ten spot or higher.” He also commented that over that same 38 years, he had never
witnessed his own 8-spot on the board. He had observed plenty of seven out of eight of his regular numbers, but never an 8-spot solid. I can
definitely buy what Art’s selling; because in the 18 years I spent on the inside, I have seen my 5-spot (2, 25, 55, 73, 78) appear only four
times. Fortuitously, I was on it once for $5, and it paid more than four grand, far more than I have ever spent, or will spend, playing keno.


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