There's a laundromat that I go where I get countless anomalous-seeming coin observations. When I go into the laundromat, I always walk around looking for coins on the floor, and I virtually never find any. But then later on in the hour, one or two coins will tend to show up. I must have seen 70+ such coins that showed up at this laundromat after I had previously checked that there were no coins on its floor, and none of them were very close to people putting their clothes in the washers or dryers.
Yesterday
it was the same old story. I went into the laundromat, and after
putting my clothes in a washer, I looked around the floors to see if
there were coins on the floor. There were none. Then about 30 minutes
later I noticed a dime in a very noticeable spot where I had just
walked past a few minutes ago without noticing such a dime. I had walked past the spot
three times before that day without noticing any such dime, but now
there was a dime in the spot. A few minutes later I found another dime on
the floor.
In
such cases I get a very strong feeling that the very improbable has
happened. But is there way for me to mathematically verify the very
high improbability of my coin sightings? There is one way.
Since
2014 the breakdown of the number of anomalous-seeming coins I have
sighted is as follows: 121 pennies, only two nickels, 20 quarters,
and 62 dimes, for a total of 205 coins. We can compare such numbers
to the 2016 US production of pennies, nickels, dimes, and quarters.
The US production numbers are as follows:
In
light of such numbers, it seems very unusual that I have only got 2
nickels in my set of 205 anomalous-seeming coins. Given the fact that
about almost 10 percent of the cents, nickels, dimes and quarters
issued in 2016 were nickels, it seems that I should have got about 18
nickels, if mere chance was involved.
There
is a way to calculate how improbable such a thing is. You can use
what is called a binomial probability calculator. I tried using this binomial probability calculator at StatTrek.com to compute the odds
of this. Below shows the inputs I used, and the output I got. The "number of trials" is the number of anomalous coin sightings I have logged, the number of successes is the number of nickels, and the probability is the probability (from the previous table) of getting a nickel (based on the 2016 mint production numbers).
What
the calculator tells us is that given a probability of 0.0968113282
of finding a nickel when a coin might be either a penny, a nickel, a
dime or a quarter, the chance of me getting only two or fewer nickels out of
205 random coins is less than 1 in a million. This is a very big hint
that the anomalous coins I have noted are not just a random set of
coins that accidentally fell to the ground. (I hadn't noticed how few of these coins were nickels until I had logged almost 200 observations of anomalous-seeming coin appearances.)
In
this regard (the fact that I get so many mysterious dimes and pennies
and so few nickels) my experience is consistent with the experience
of others who report finding mysterious coins. Such people seem to
report finding either dimes, pennies or both, with few reports of
nickels appearing. When I do a Google search for “finding
mysterious coins,” I find one page mentioning finding dimes and
pennies, and two pages mentioning finding dimes. Then there is the
“Finding Dimes” blog (www.findingdimes.org),
in which a blogger reports 90+ anomalous dimes. The blog has many
comments, largely from people finding anomalous dimes.
When
I do a Google search for “finding mysterious dimes” or “finding
mysterious pennies,” I get quite a few pages talking about finding
mysterious dimes or mysterious pennies, but no sites with titles such
as “Finding mysterious nickels.” When I do a Google search for
“finding mysterious nickels,” I get some pages pages talking
about finding mysterious dimes or mysterious pennies, but no sites
with titles such as “Finding mysterious nickels.”
For
me the most astonishing thing about this phenomenon is what I have
seen countless dozens of times: I will notice a coin in a spot that I just
walked past or very recently “coin-checked” without noticing any
coin in that spot. You would have such an experience if you walked
down a hall to your apartment door, put your key in your key slot, and
then noticed a coin a meter to the left of your door that you failed
to notice when walking right by such a spot a moment ago.
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