Maths in a minute
https://plus.maths.org/content/category/tags/maths-minute
enMaths in a minute: Bayes' theorem
https://plus.maths.org/content/maths-minute-bayes-theorem
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Rachel Thomas </div>
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<img class="imagefield imagefield-field_abs_img" width="99" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/4/25_jan_2016_-_1440/icon.jpg?1453732842" /> </div>
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<p>It would be foolish to ignore evidence. Luckily Bayes' theorem shows us how to take it in into account.</p>
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Suppose that a particular type of cancer affects 1% of the population. There is a test for this cancer but it's not perfect: although the test gives a positive result for 90% of people who have the cancer, it also gives a positive result for 5% of the people who are cancer-free. You have just received a positive test result – what is the probability you have cancer?
</p><p><a href="https://plus.maths.org/content/maths-minute-bayes-theorem" target="_blank">read more</a></p>https://plus.maths.org/content/maths-minute-bayes-theorem#commentsbayes theoremconditional probabilityMaths in a minutemedical statisticsMon, 25 Jan 2016 14:26:40 +0000Rachel6521 at https://plus.maths.org/contentMaths in a minute: The prisoner's dilemma
https://plus.maths.org/content/prisoners-dilemma-0
<div class="rightimage" style="width: 351px"><img src="https://plus.maths.org/content/sites/plus.maths.org/files/blog/072011/prisonerscale.jpg" width="351" height="232"></div>
<p> Suppose you and a friend have been arrested for a crime and you're
being interviewed separately. The police offer each of you the same
deal. You can either confess, incriminating your partner, or remain
silent. If you confess and your partner doesn't, then you get 2
years in jail (as a reward for talking), while your partner gets 10 years.<p><a href="https://plus.maths.org/content/prisoners-dilemma-0" target="_blank">read more</a></p>https://plus.maths.org/content/prisoners-dilemma-0#commentsgame theoryMaths in a minutePrisoner's DilemmaFri, 08 Jul 2011 09:42:52 +0000mf3445517 at https://plus.maths.org/contentMaths in a minute - levers
https://plus.maths.org/content/maths-minute-levers
<p>Kneeling in the mud by a country road on a cold drizzly day, I finally appreciated the wonder that is a lever. I was trying to change a flat tyre and even jumping on the end of the wheel wrench wouldn't budge the wheel nuts. But when the AA arrived they undid them with ease, thanks to a wheel wrench that was three times the size of mine. There you have it ... size really does matter!
</p><p><a href="https://plus.maths.org/content/maths-minute-levers" target="_blank">read more</a></p>https://plus.maths.org/content/maths-minute-levers#commentsengineeringMaths in a minuteTue, 07 Jun 2011 15:18:24 +0000Rachel5500 at https://plus.maths.org/contentMaths in a minute — geodesic domes
https://plus.maths.org/content/maths-minute-%E2%80%94-geodesic-domes
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The dramatic curved surfaces of some of the iconic buildings created in the last decade, such as 30 St Mary's Axe (AKA the Gherkin) in London, are only logistically and economically possible thanks to mathematics. Curved panels of glass or other material are expensive to manufacture and to fit. Surprisingly, the curved surface of the Gherkin has been created almost entirely out of flat panels of glass — the only curved piece is the cap on the very top of the building. And simple geometry is all that is required to understand how.
</p><p><a href="https://plus.maths.org/content/maths-minute-%E2%80%94-geodesic-domes" target="_blank">read more</a></p>https://plus.maths.org/content/maths-minute-%E2%80%94-geodesic-domes#commentsMaths in a minuteFri, 26 Nov 2010 13:34:03 +0000Rachel5358 at https://plus.maths.org/content