Amazing approach to hardest mathematics problem.

Hey, there's no problem in this universe which had no solution. The need is to just nicely analyse the problem and approach to the solution in the right way.

The "Putnam competion" is one of the toughest exam based on maths problems. It is a six hour long test and have just 12 questions each of 10 marks. It's difficulty level could be understood by seeing the median marks of student appearing in this test that is 1 or 2 out of 120. hence it is a pretty hard test. The hardness level of problem goes on incresing as you go from question 1 to 6. It means the sixth question is the hardest.
Here I am going to share a problem which came in a while back in this exam and it was the sixth problem.

Q. If you choose four random points on a sphere, and consider a tetrahedron with those points as its vertices, what is the probability that the centre of the sphere is inside the tetrahedron?

You should try this question once yourself.

And if you got stuck on it, then here's a video of it's solution in the easiest way.
THIS VIDEO IS AMAZING!!!

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Mathematics problem

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Mathematics Problem

A census-taker knocks on a door, and asks the woman inside how many children she has and how old they are. "I have three daughters, their ages are whole numbers, and the product of the ages is 36," says the mother. "That's not enough information," responds the census-taker. "I'd tell you the sum of their ages, but you'd still be stumped." "I wish you'd tell me something more." "Okay, my oldest daughter Annie likes dogs." What are the ages of the three daughters? Comment down your answer below.

The Murder of Roger Ackroyd(Audiobook)

INTRO: The Murder of Roger Ackroyd is a work of detective fiction by Agatha Christie, first published in June 1926 in the United Kingdom by William Collins, Sons and in the United States by Dodd, Mead and Company. It is the third novel to feature Hercule Poirot as the lead detective. Duration: 1:26:49 Summary: Collins brings the Queen of Crime, Agatha Christie, to English language learners. Agatha Christie is the most widely published author of all time and in any language. Now Collins has adapted her famous detective novels for English language learners. These carefully abridged versions are shorter with the language targeted at learners of English. Roger Ackroyd is a man who knows too much. He knows the woman he loved poisoned her first husband. He knows someone was blackmailing her – and now he knows she killed herself. When Roger Ackroyd is found murdered, the famous Belgian detective, Hercule Poirot, is called in to find out who the ...

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