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.
 

1. What does 2.2204460492503E-16 as odds mean?

2.2204460492503E-16 as odds refers to the probability of an event occurring, expressed as a ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the odds are extremely small, indicating a very low probability of the event occurring.

2. How is 2.2204460492503E-16 as odds calculated?

The odds are calculated by taking the number of favorable outcomes and dividing it by the total number of possible outcomes. In this case, the number 2.2204460492503E-16 represents the number of favorable outcomes, while the total number of possible outcomes is typically 1. Therefore, the odds would be 2.2204460492503E-16 divided by 1, resulting in the very small value of 2.2204460492503E-16.

3. What does 2.2204460492503E-16 as odds tell us about the likelihood of an event occurring?

2.2204460492503E-16 as odds tells us that the likelihood of the event occurring is extremely small. In fact, it is almost impossible for the event to occur, as the odds are so low. This value is often used to represent events that are highly unlikely to happen.

4. Can 2.2204460492503E-16 as odds ever be a negative value?

No, 2.2204460492503E-16 as odds cannot be a negative value. Odds are always expressed as a positive number, as they represent the ratio of favorable outcomes to total possible outcomes. If the odds were to ever be a negative value, it would imply that there are more unfavorable outcomes than possible outcomes, which is not possible.

5. How can 2.2204460492503E-16 as odds be used in scientific research?

2.2204460492503E-16 as odds can be used in scientific research to represent events that have a very low probability of occurring. This can be useful in predicting the likelihood of certain outcomes or in analyzing data. It can also be used to compare the odds of different events and determine which is more likely to occur.

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