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15-Jul-2020 00:57
There's actually a more rigorous way of estimating the proportion, rather than just drawing a picture, but it involves calculus.If you follow that argument, you will see that the "about 37%" really mean a proportion of where is the base of the natural logarithm: so .The halflife of carbon 14 is 5730 ± 30 years, and the method of dating lies in trying to determine how much carbon 14 (the radioactive isotope of carbon) is present in the artifact and comparing it to levels currently present in the atmosphere.Above is a graph that illustrates the relationship between how much Carbon 14 is left in a sample and how old it is.In other words, you pick X if the highest-ranked among the first people turned up within the first people. In other words, you pick X if the highest-ranked among the first people turned up within the first people. If , so there are only five people, the only value of for which the two inequalities hold is , which is 40% of : So you should discard the first two people and then go for the next one that tops the previous ones.
It's a tricky question, and as with many tricky questions, mathematics has an answer of sorts: it's 37%. We’ll assume that you have a rough estimate of how many people you could be dating in, say, the next couple of years. The value of depends on your habits — perhaps you meet lots of people through dating apps, or perhaps you only meet them through close friends and work.
Those who are interested should read this article, which looks at the problem in terms of a princess kissing frogs and has the detailed calculations.
So what's your chance of ending up with X with the 37% strategy? The magic number 37 turns up twice in this context, both as the probability and the optimal proportion.
We will call that person X — it’s who you’d ideally want to end up with.
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Your strategy is to date of the people and then settle with the next person who is better. Carbon dating has given archeologists a more accurate method by which they can determine the age of ancient artifacts.
