https://probabilitycards.com/blogFree probability lessons, worksheets, a counting calculator and simulators that use an ordinary 52-card deck to teach combinatorics, probability, Monte Carlo simulation, randomness and sampling error. Educational only, no gambling.enhttps://probabilitycards.com/blog/how-many-five-card-hands-are-therehttps://probabilitycards.com/blog/how-many-five-card-hands-are-thereTue, 03 Nov 2026 00:00:00 GMTWhy a 52-card deck makes exactly 2,598,960 different five-card hands, shown step by step with permutations, combinations and a simple divide-by-120 trick.https://probabilitycards.com/blog/poker-hand-probabilities-tablehttps://probabilitycards.com/blog/poker-hand-probabilities-tableTue, 03 Nov 2026 00:00:00 GMTExact counts and probabilities for all nine five-card hand types, from straight flush to no pattern, with the counting argument behind every number.https://probabilitycards.com/blog/why-one-pair-is-so-commonhttps://probabilitycards.com/blog/why-one-pair-is-so-commonTue, 03 Nov 2026 00:00:00 GMTOne pair appears in over 42% of five-card hands while a flush is under 0.2%. The reason is counting: how many hands fit each pattern, not how special they look.https://probabilitycards.com/blog/what-is-monte-carlo-simulationhttps://probabilitycards.com/blog/what-is-monte-carlo-simulationTue, 03 Nov 2026 00:00:00 GMTMonte Carlo simulation estimates probabilities by repeating a random experiment many times. See how it works with a deck of cards and when it can be trusted.https://probabilitycards.com/blog/law-of-large-numbers-with-cardshttps://probabilitycards.com/blog/law-of-large-numbers-with-cardsTue, 03 Nov 2026 00:00:00 GMTWhy experiments settle toward the true probability as samples grow, why the error shrinks like one over the square root of n, and how to see it with 100 to 100,000 deals.https://probabilitycards.com/blog/permutations-vs-combinationshttps://probabilitycards.com/blog/permutations-vs-combinationsTue, 03 Nov 2026 00:00:00 GMTDoes order matter? A clear guide to choosing between permutations and combinations, with card examples, formulas and common mistakes.https://probabilitycards.com/blog/why-random-looks-streakyhttps://probabilitycards.com/blog/why-random-looks-streakyTue, 03 Nov 2026 00:00:00 GMTTrue random sequences contain surprising runs and clusters. Learn why streaks are normal, why 'due' outcomes do not exist, and how shuffles and seeds work.