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.
 

FAQ: What is 2.2204460492503E-16 as odds?

What does 2.2204460492503E-16 represent?

2.2204460492503E-16 is a numerical representation in scientific notation, indicating a very small number, specifically 0.00000000000000022204460492503. It is often used in scientific and mathematical contexts to denote values that are close to zero.

How do you convert 2.2204460492503E-16 to odds?

Odds can be expressed as the ratio of the probability of an event occurring to the probability of it not occurring. To convert 2.2204460492503E-16 to odds, you can use the formula: odds = probability / (1 - probability). In this case, the odds would be approximately 2.2204460492503E-16 / (1 - 2.2204460492503E-16), which is effectively still 2.2204460492503E-16 since the probability is so small.

What are the implications of such small odds?

Odds of 2.2204460492503E-16 imply that the event in question is extremely unlikely to occur. In practical terms, this means that if you were to conduct an experiment or make a prediction based on these odds, the event would almost certainly not happen.

In what contexts might you encounter such small odds?

Such small odds are often encountered in fields like quantum mechanics, statistical analysis, and risk assessment, particularly in situations involving rare events or phenomena. For example, they might be used to describe the likelihood of a specific particle interaction or the chance of a rare genetic mutation.

How can understanding small odds be useful in scientific research?

Understanding small odds can be crucial in scientific research because it helps researchers quantify uncertainty and assess the likelihood of rare events. This knowledge can guide experimental design, inform statistical analyses, and aid in making predictions about complex systems.

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