Blaise Pascal and Pierre de Fermat corresponded on probability and are known as the founders of probability theory. This correspondence continued on other mathematical topics.
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No individual can be said to have discovered the rules of probability. Some people that made important contributions are Gerolamo Cadarno, Pierre de Fermat, Blaise Pascal and Chritiaan Huygens.Pierre-Simon Laplace wrote what many consider to be the definitive work.
Blaise Pascal helped Pierre de Fermat in his work related to the development of probability theory which strongly influenced the development of modern economics and social science.
The coefficients of the binomial expansion of (1 + x)n for a positive integer n is the nth row of Pascal's triangle.
de Moirve's theorem, Pascal's triangle, Pythagoras triangle, Riemann hypothesis, Fermat's last theorem. and many more
Yes. If you mark the odd numbers in Pascal's Triangle, it would form Sierpinski's Gasket.