via instagram-
This is a continuation of an earlier post of mine, on Instagram, in regards to an old math riddle I am working on…here goes…
The “flip-side” (continued)--.
Well,
if we look at 1 flip of the coin, if the expected
variance goes the other way, on the
scale ( see my earlier “flip-side” post), 1 flip should have an expected variance of 0.4 , and 0.6,
heads, and tails…If the expected
variance model is congruent with the rest of the scale... Meaning, 0.4 and 0.6, for 1 flip of the
coin…and 4, and 6, heads, or tails, at 10 flips…with 40 and 60 for 100 flips,
and 400 and 600 for 1000 flips...So, does this indicate 60,000 flips heads, or 40,000
tails, at 100,000 flips??...I have my doubts... It seems good, except for the 0.4
heads, and 0.6 tails, at one flip...Meaning, it must be a whole number, of a value of at least 1…since we can not
have a “partial flip”… And so, I feel that the variance should decrease exponentially, if the “expected deviation value” is
small( the “range of deviation”), at low
numbers of flips... Refining “expected
deviation”, and not increasing the “range of expected deviation”...with larger “expected variance” values--
Summary--
Either way, moving the scale refines the “expected deviation”... Is it
0.4 and 0.6, heads and tails at 1 flip??...Again, I feel the value must be expressed in a whole number...Indicating to me, that
the numbers must go up the scale, and
not down, to refine "expected
variance"...Meaning, my original
notion in my first post about this problem, is most likely the correct one...
Best wishes, john kruschke-- :o)
P. S. : My phone battery just died, and I lost what I was thinking about
before this post could be posted...Sadly, good work is often lost, before the
notion is saved by the person working the problem…oh now I remember...Can we
deduce, that if the values of heads or tails, is greater than 20 percent, out of 100, that we then know, from the data collected, that the odds of getting heads or tails, is not “50, 50”??...or “50 percent”??...and
is it then instead, an un-unequal value?? ( I feel that the
data collected from the study, must
reflect the “expected variance” of the “percent value” assigned to the study,
or, the model has a different
percentile, than the assigned value
in the study) ...”Roll-it-around-awhile” everybody--
The chance of getting a head on one flip is 1/2.
ReplyDeleteThe chance of getting 2 heads with 2 flips is 1/4.
... 3 heads with 3 flips = 1/8, or 1/2 x 1/2 x 1/2.
The chance of 10 heads with 10 flips is 1/2 x 1/2 x ...
Or 1/1024 or 1/1000, approximately.
Getting 10 heads in a row isn't likely, only 1/1024...
When I was in high school, I sometime went into an ice cream store with only 4 cents but the small cone was 5 cents. So,... I bet the owner's son one penny on a flip of a coin. If I lost, I bet the owner two pennies on another flip of a coin. My chances of losing two flips in a row was 1/2 x 1/2 or 1/4. If I won on either the first flip OR the second flip, I quit flipping and ordered my ice cream cone (in effect, I was deciding when to "quit" - heh-heh). After a year of doing this, the owner's son refused to flip anymore...