What is 2.2204460492503E-16 as odds?

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In summary, the conversation discusses the odds of getting heads 52 times in a row, which is approximately one in 4.5 quadrillion, or 2.2204460492503E-16. This number can also be represented as 0.222 femto (f) or 222 atto (a), depending on location. The conversation also mentions dividing the probability by p to get the odds.
  • #1
bsharvy
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TL;DR Summary
How to convert really small numbers to odds format
I think it's around 1 to 100-trillion, but maybe 1-quadrillion?
 
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  • #2
##
\begin{align*}
2.2204460492503E-16&=2.2204460492503\cdot 10^{-16}\\
&\approx 0.222\cdot 10^{-15} =0.222 \text{ femto (f)} \\
&= 222 \cdot 10^{-18} \text{ atto (a)}
\end{align*}
##
Whether you call femto a billiardth or a quadrillionth and atto a trillionth or a quintrillionth depends on your location on earth.
 
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  • #3
bsharvy said:
2.2204460492503E-16
Did you just make this number up? How did you make this measurement to this precision?
 
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  • #4
berkeman said:
Did you just make this number up? How did you make this measurement to this precision?
It is (0.5)^52

So, are the odds of getting heads 52 times in a row approximately one to one-quadrillion?
 
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  • #5
Let p be the probability of an event.
Then 1-p is the probability of the event not happening.
So the odds are 1-p to p.
You can divide by p to get ##\frac 1 p -1 ~to~1##
 
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  • #6
bsharvy said:
the odds
You mean "the probability"
 
  • #7
bsharvy said:
It is (0.5)^52

So, are the odds of getting heads 52 times in a row approximately one to one-quadrillion?
Yes. One in 4.5 quadrillion.
 

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