This directory contains some simulations done in J, an array programming language, which is very suitable to do math and puzzles very quickly, after getting used to the language!
simulations.ijs
- https://math.stackexchange.com/questions/779585/expected-number-of-spins
- https://math.stackexchange.com/questions/2763/what-is-the-expected-number-of-runs-of-same-color-in-a-standard-deck-of-cards
- https://math.stackexchange.com/questions/644342/probability-of-two-tens-in-a-random-shuffled-deck-of-cards
- https://math.stackexchange.com/questions/743154/combining-random-cards-from-two-decks-and-calculating-probability
- https://math.stackexchange.com/questions/706024/2-player-dice-game-probability
- https://math.stackexchange.com/questions/743602/how-many-random-cards-picks-with-replacement-are-required
- https://math.stackexchange.com/questions/798475/spinners-from-yesteryear-a-challenging-probability-problem
- https://math.stackexchange.com/questions/795955/probability-question-with-coins
- https://math.stackexchange.com/questions/798412/expected-value-of-a-sum-of-a-10-sided-die
- https://math.stackexchange.com/questions/800406/broken-trucks-at-a-road
- https://math.stackexchange.com/questions/801470/extracting-balls-from-a-basket-until-all-have-the-same-colour
- https://math.stackexchange.com/questions/749336/k-items-in-n-buckets-number-of-buckets-with-at-least-2-items
- https://math.stackexchange.com/questions/811516/probability-that-yz-1-xz-2
- Probability that sum of num^6 < 1, 10 numbers taken from uniform distribution
- https://math.stackexchange.com/questions/816803/probability-of-lies-a-point-in-a-random-triangle
- https://math.stackexchange.com/questions/822420/probability-coin-flip
simulations-2.ijs
- https://math.stackexchange.com/questions/66077/how-to-find-the-expected-number-of-boxes-with-no-balls
- https://math.stackexchange.com/questions/818829/probability-in-cards-that-4-people-each-get-queen-and-king/
- https://math.stackexchange.com/questions/823397/expected-value-and-dice
- https://math.stackexchange.com/questions/380004/i-roll-6-sided-dice-until-the-sum-exceeds-50-what-is-the-expected-value-of-the
- https://math.stackexchange.com/questions/733942/help-with-the-probabilty-of-rolling-two-ten-sided-dice-multiple-times-until-100
- https://math.stackexchange.com/questions/324387/two-dice-roll-questions-related-to-rolling-a-yahtzee
- https://math.stackexchange.com/questions/684426/on-average-how-many-times-does-one-need-to-roll-three-fair-dice-to-get-a-sum-of
- https://math.stackexchange.com/questions/192177/how-many-times-to-roll-a-die-before-getting-two-consecutive-sixes
- If the above question is changed to getting a '5 6' instead
- https://math.stackexchange.com/questions/28905/expected-time-to-roll-all-1-through-6-on-a-die
- The expected number of throws till all 6 consecutive throws show up different faces
- https://math.stackexchange.com/questions/736211/how-many-times-does-a-single-fair-die-have-to-be-rolled-for-a-number-to-repeat
- https://math.stackexchange.com/questions/369582/rolling-a-fair-die-4-times-what-is-the-probability-of-getting-an-increasing-seq
- https://math.stackexchange.com/questions/339484/three-equal-die-rolls-in-a-row-in-a-3-times-3-array
- https://math.stackexchange.com/questions/740336/the-probability-of-the-first-roll-having-the-highest-number-in-n-consecutive-rol
simulations-3.ijs
- https://math.stackexchange.com/questions/827938/calculate-the-probability-that-at-least-k-of-his-favourite-students-are-awarded
- https://math.stackexchange.com/questions/833911/probability-of-an-event-indicator-black-and-white-balls
- https://math.stackexchange.com/questions/835458/expected-value-of-two-successive-heads-or-tails-stuck-on-computation
- https://math.stackexchange.com/questions/68541/probability-question-about-married-couples
- https://math.stackexchange.com/questions/25568/expected-number-of-rolling-a-pair-of-dice-to-generate-all-possible-sums
- https://math.stackexchange.com/questions/838659/football-game-penalty-kicks-maximizing-winning-chances
- https://math.stackexchange.com/questions/656310/8-cards-are-drawn-from-a-deck-of-cards-without-replacement
- https://math.stackexchange.com/questions/842178/probability-of-modal-value-being-mode-when-rolling-dice
- https://math.stackexchange.com/questions/846442/generating-function-probability-regaridng-coin-toss/
- https://math.stackexchange.com/questions/846315/using-markov-chain-to-find-average-and-probability/
- https://math.stackexchange.com/questions/847763/drawing-previously-undrawn-cards-from-a-deck/
- https://math.stackexchange.com/questions/849751/non-geometric-way-to-calculate-expected-value-of-breaks
simulations-4.ijs
- https://math.stackexchange.com/questions/850244/asymptoticly-how-many-random-students-do-i-have-to-mark-before-ive-marked-two
- https://math.stackexchange.com/questions/850857/an-archery-game
- https://math.stackexchange.com/questions/854612/the-probability-that-x-birthdays-lie-within-n-days-of-each-other
- https://math.stackexchange.com/questions/861856/expected-number-of-parallel-tosses-where-each-coin-gets-heads-at-least-once-of
- https://math.stackexchange.com/questions/911571/probability-rolling-a-dice-5-times
- https://math.stackexchange.com/questions/953908/probability-that-the-sum-of-three-integer-numbers-from-1-to-100-is-more-than-1
- https://math.stackexchange.com/questions/951236/probability-of-exactly-2-low-rolls-in-5-throws-of-a-die
- https://math.stackexchange.com/questions/1061083/average-time-to-fill-boxes-with-balls/
- https://math.stackexchange.com/questions/1097630/break-a-stick-into-2-expected-length-of-shorter-stick
- https://math.stackexchange.com/questions/1157960/basic-card-dealing-probability
- https://math.stackexchange.com/questions/1325895/direction-on-how-to-rightly-compute-a-certain-expected-value
- https://math.stackexchange.com/questions/1334544/off-by-1-lottery-probability
simulations-5.ijs
- https://math.stackexchange.com/questions/1485546/how-many-tickets-should-i-buy-to-win-a-prize-in-lottery
- Seven boys and three girls are seated in a row. Find the number of ways of seating arrangements such that the boys get the end positions and no two girls are seated next to each other.
- https://math.stackexchange.com/questions/2094936/expected-length-of-a-sequence
- https://puzzling.stackexchange.com/questions/57583/how-many-tries-to-roll-a-6