Curtis,
His prior statement was correct...and this statement is also correct.
They are not contradictory, but it is easy to see why they would
appear to be.
Let me try and explain...
1. Here is what JBQ meant in his first statement: "The odds that my
next 6 royals will all be clubs is the same as the odds that my next 6
royals will be the following: clubs then spades then clubs then
diamonds then hearts then diamonds."
There is a 1-in-4 chance that my next royal will be clubs; then an
independent 1-in-4 chance for the following royal; and on and on. So
there is a 1-in-4096 chance that the next 6 royals will be a
pre-specified sequence. (To get the 1-in-4096, you can take 4^6.)
2. Here is what JBQ meant in his second statement: "The odds that the
next 6 royals will all be the same suit is 1-in-1024."
Now...this might seem wrong based on accepting the first statement.
But it is still completely correct. We are not specifying the suit of
the next royal...only that the following 5 will be the same suit as
the next one. So instead of fixing the 1-in-4 chance *6* times...we
are fixing it just *5* times. This means that the odds of your next 6
royals being the same (unspecified) suit is 4^5, or 1-in-1024.
In case 1, we are specifying a full 6-royal sequence; in case 2, we
are only specifying royals 2-6. I hope that clears up your confusion.
Ken
Hi Jean-Baptiste.
Earlier, you said getting six RF's consecutively in spades is
"....just as
likely (or unlikely) to happen as hitting (in that order) one in
hearts, one
in spades, one in hearts, one in diamonds, and two in clubs
(assuming, of
course, that you play a strategy where all suits behave the same)."
And I replied, "Are you sure? I ask because that does not sound
logical to
me."
Now, you say that getting six RF's in a particular sequence is is
1-in-4096
and getting six RF's all in the same suit is 1-in-1024. That
doesn't sound
···
--- In vpFREE@yahoogroups.com, "Curtis Rich" <LGTVegas@...> wrote:
like they are just as likely.
Are you correcting your previous statement?
Curtis