**Me and my team wish you the nicest holidays ever! Be prepared to recieve some nice gifts from us in the next few days! ðŸ™‚**

Sincerely, The Mathist team

p.s. *We at The Mathist really love to express our thoughts with these creative math notes… ðŸ™‚*

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# Category: Interesting Math

## Ho ho ho, Merry Christmas! :)

## Feeling Lucky? – Total Probability Theory

###### Related articles

## The Most Beautiful Formula

## The Famous Harmonic Series

**Me and my team wish you the nicest holidays ever! Be prepared to recieve some nice gifts from us in the next few days! ðŸ™‚**

Sincerely, The Mathist team

p.s. *We at The Mathist really love to express our thoughts with these creative math notes… ðŸ™‚*

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**When Blaise Pascal and Pierre de Fermat studied a problem related to a gambling game they developed what is now widely known as theÂ probability theory.**

They were hired by two very rich man, that were interrupted in a middle of a gambling game, to determine in which proportion the stakes should be divided based on the current score.

The formula of total probability is widely used and is very significant in the probability theory.Â

**The fun fact is that the interest in probability was solely influenced by gambling games throughout the 17. 18. Â and 19. century. Only way later was probability studied for theoretical reasons.Â **

- Guide to Game Theory: expected value and independent events (thefinalwager.co)
- Struggling with chance (plus.maths.org)
- Pierre de Fermat and His Mathematical Legacy (math.answers.com)
- What is a Probability? (math.answers.com)
- Total Probability Theorem and Bayes Theorem (jyyuan.wordpress.com)

The famous Euler’s identity is Â widely considered **the most beautiful formula in all of maths.**

For me It is because it binds all of the *fundamental mathematical constants* in a single, Â **short and sweet equality.**

- The number
**e,Â**which is the base of the natural logarithm, - The number
**pi,Â**which represents the ratio between the, circumference and the diameter of a circle - The constant
**i,Â**or the famousÂ*imaginary unit,*Â defined as the square root of -1, - The constant
**0,**Â which is**Â**the neutral element for the operation of addition, - The constantÂ
**1,Â**which isÂ the neutral element for the operation of multiplication.

Thank you, sir Euler! ðŸ™‚

The divergence of the harmonic series is the source of many counterintuitive conclusions, such as this one:

Given a collection of identical dominoes, it is clearly possible to stack them at the edge of a table so that they hang over the edge of the table without falling. *The fun fact** is* that one can stack them in such a way to make the overhang