Posts by DNB‭

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Q&A How can I visualize the Law of Total Probability with extra conditioning?

0 answers · posted 5y ago by DNB‭ · edited 5y ago by Wolgwang‭

Question probability visualization

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Q&A Why isn't the probability of being void in 3 specific suits $\frac{1/13}{\dbinom{52}{13}}$?

0 answers · posted 5y ago by DNB‭

Question probability

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Q&A You're sampling k people from a population of size n one at a time, with replacement and with equal probabilities. Order or not?

0 answers · posted 5y ago by DNB‭

Question probability

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Q&A What's the bijection between Stars and Bars and Integer Solutions to an Equality?

0 answers · posted 5y ago by DNB‭

Question combinatorics

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Q&A Out of 4 people, why does ways to choose a 2-person committee overcount by 2 the ways to divide the 4 into 2 teams of 2?

1 answer · posted 5y ago by DNB‭ · last activity 4y ago by Tim Pederick‭

Question probability

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Q&A If k = 1, why $n(n-1) \dots \color{red}{(n-k+1)} = n$?

1 answer · posted 5y ago by DNB‭ · edited 5y ago by DNB‭

Question probability

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Meta What story and TWO-digit Natural Numbers best fit Bayes' Theorem chart?

2 answers · posted 5y ago by DNB‭ · last activity 5y ago by Monica Cellio‭

Question discussion

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Q&A What story and two-digit Natural Numbers best fit Bayes' Theorem chart?

0 answers · posted 5y ago by DNB‭ · reopened 5y ago by Monica Cellio‭

Question probability

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Q&A How would you intuit, and soothsay to rewrite, "both girls, ≥ 1 winter girl" as "both girls, ≥ 1 winter child"?

0 answers · posted 5y ago by DNB‭ · edited 5y ago by DNB‭

Question probability

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Q&A How do I prove Simpson's Paradox, scilicet $P(A|B) > P(A|B^C)$?

0 answers · posted 5y ago by DNB‭ · edited 5y ago by DNB‭

Question probability

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Q&A How can I exploit symmetry to intuit P(A wins) + P(B wins) = 1, without performing algebra?

0 answers · posted 5y ago by DNB‭

Question probability

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Q&A After $n - 2$ unchosen doors are opened, how does the probability of the $n - 2$ unchosen doors "shift" or "transfer" to the lone unchosen door?

2 answers · posted 5y ago by DNB‭ · edited 5y ago by DNB‭

Question probability

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Q&A How do these 3 bell curves of Likelihood, Posterior, Prior pictorialize the Odds form of Bayes' rule?

0 answers · posted 5y ago by DNB‭ · edited 5y ago by DNB‭

Question probability

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Q&A Besides guaranteeing 0 ≤ P(A ∩ B) ≤ 1, why can't Independence be defined as P(A ∩ B) = P(A) +,-, or ÷ P(B)?

1 answer · posted 5y ago by DNB‭ · edited 5y ago by DNB‭

Question probability

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Q&A In the Lost Boarding Pass Probability Problem, why couldn't Passengers 2-99 sit in Seats 1 or 100, before Passenger 100 boards?

0 answers · posted 5y ago by DNB‭ · edited 5y ago by DNB‭

Question probability

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Q&A Why shouldn't the Bose-Einstein value be used to calculate birthday probabilities?

0 answers · posted 5y ago by DNB‭

Question probability

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Q&A Are Stars and Bars in Combinatorics related to the Fence Post Error?

0 answers · posted 5y ago by DNB‭

Question combinatorics

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Q&A Explain to a 9 year old — To count each possibility c times, why divide by c? Why not subtract by c?

0 answers · posted 5y ago by DNB‭

Question probability

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Q&A Intuitively, if you pick k out of n objects singly without replacement, why's the number of possible outcomes NOT $n(n-1) \dots [(n-(k - 1)]\color{red}{(n - k)}$?

1 answer · posted 5y ago by DNB‭ · edited 5y ago by DNB‭

Question probability

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Q&A Why aren't the "21 possibilities here" NOT equally likely?

1 answer · posted 5y ago by DNB‭ · edited 5y ago by Wolgwang‭

Question probability

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Q&A Without calculations, how can you visualize "that half the squares are white and half are black"?

1 answer · posted 5y ago by DNB‭ · last activity 4y ago by whybecause‭

Question probability

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Q&A Why "only 1/10,000 men with wives they abuse subsequently murder them" ≠ P(A|G,M) & "50% of husbands who murder their wives abused them” ≠ P(G|A)?

0 answers · posted 5y ago by DNB‭

Question probability

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Q&A In the Monty Hall problem, why can you just assume the contestant picked door 1? Why are you entitled to relabel the doors, or rewrite this solution with the door numbers permuted?

1 answer · posted 5y ago by DNB‭ · last activity 5y ago by Moshi‭

Question probability

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Q&A How to intuit that if you destroy someone else's lottery ticket, you didn't deprive her of a chance of winning the lottery?

0 answers · posted 3y ago by DNB‭ · edited 3y ago by DNB‭

Question lottery

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