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Conditional Expectation of 3 random variables

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#probability #stochastic-processes #random-variables #martingales #puzzle
257
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How to prove these rules produce a Gray code

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#puzzle #gray-code
90
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Find the smallest positive whole number that is equal to seven times the product of its digits

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#puzzle
157
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Which pairs can go on infinitely?

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#elementary-number-theory #discrete-mathematics #algorithms #puzzle
109
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Minimum number of cuts required to divide a cube into $8$ equal parts

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#puzzle #cross-sections
63
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Finding probability with dependent random variables

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#probability #random-variables #puzzle
113
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Probability of strings making a complete loop

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#probability #probability-theory #puzzle
87
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$2n$ knights around a table with namecards, is it possible that for every rotation there is exactly one person with a correct namecard?

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#combinatorics #discrete-mathematics #contest-math #puzzle #pigeonhole-principle
46
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Asymmetric Random Walk Question

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#probability #probability-theory #probability-distributions #puzzle #random-walk
96
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Knights and Knaves variation

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#discrete-mathematics #logic #contest-math #puzzle
712
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Where is the optimal point to “hide” in a shape?

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#geometry #optimization #puzzle
59
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4x4 matrix with colours and symbols - no repeat in row or column

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#algorithms #puzzle
202
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Coin flip puzzle, prove $P(X>Y) > P(Y>X)$

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#probability #probability-distributions #puzzle
55
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solution using symmetry to probability question involving 3 jurors

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#probability #recreational-mathematics #problem-solving #puzzle
3.8k
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Simple puzzle from The Moscow Puzzles with wrong solution?

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#puzzle

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