Mathematics - Posts tagged probability

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Q&A What is the probability that the convex hull of $n$ randomly distributed points has $l$ of the points on its boundary?

1 answer · posted 4mo ago by siric‭ · edited 2mo ago by tommi‭

Question probability convex-hull

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Q&A How to intuit p = Calvin's probability of winning each game independently = $1/2 \implies$ P(Calvin wins the match) = 1/2?

1 answer · posted 1y ago by DNB‭ · last activity 11mo ago by viäränlaenen‭

Question probability

50%

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Q&A Why does the Dottie number $=\sqrt{1-\left(2\text I^{-1}_\frac12\left(\frac12,\frac32\right)-1\right)^2}$?

0 answers · posted 11mo ago by Tyma Gaidash‭ · edited 11mo ago by Tyma Gaidash‭

Question probability equation median inverse

33%

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Q&A Why 1. multiply the number of independent options? 2. add the number of exclusive options?

3 answers · posted 1y ago by DNB‭ · last activity 1y ago by Tim Pederick‭

Question probability

33%

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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 1y ago by DNB‭ · last activity 1y ago by Tim Pederick‭

Question probability

33%

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Q&A Why's Pr(the running total of a fair dice rolled repeatedly = n) = $\frac16 (p_{n-1} + p_{n-2} + p_{n-3} + p_{n-4} + p_{n-5} + p_{n-6})$?

0 answers · posted 1y ago by DNB‭ · edited 1y ago by DNB‭

Question probability

40%

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Q&A Why's a 2-player game with "win by two" rule = Gambler's Ruin where each player starts with $2? Why N = 4?

0 answers · posted 1y ago by DNB‭ · edited 1y ago by DNB‭

Question probability

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Q&A If C = Calvin wins the match, and $X \thicksim Bin(2, p) =$ how many of the first 2 games he wins — then why P(C|X = 1) = P(C)?

1 answer · posted 1y ago by DNB‭ · last activity 1y ago by Peter Taylor‭

Question probability

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Q&A Intuitively, why does $p$ vary inversely with $P(C_3 \mid D_2)$? But directly with $P(C_2 \mid D_3)$?

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

Question probability

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Q&A "the people who move have a percentage of Democrats which is between these two values" — How does this furnish intuition for Simpson's Paradox?

0 answers · posted 1y ago by DNB‭ · edited 1y ago by DNB‭

Question probability

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Q&A For (a variation) of the Monty Hall problem, what permits you to repaint doors 2 and 3? What permits you to replace p with $1 - p$?

0 answers · posted 1y ago by DNB‭ · edited 1y ago by DNB‭

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 1y ago by DNB‭ · last activity 1y ago by whybecause‭

Question probability

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Q&A In general, does $\color{forestgreen}{P(A|M)} + \color{red}{P(B|M)} = 1$?

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

Question probability

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Q&A Acceptable, usual to write $\ge 2$ pipes simultaneously?

1 answer · posted 1y ago by DNB‭ · last activity 1y ago by Derek Elkins‭

Question probability

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Q&A How does $P(C > D \mid C = 2) \neq P(C > D \mid C \neq 2)$ prove that B > C depends on C > D?

0 answers · posted 1y ago by DNB‭ · edited 1y ago by DNB‭

Question probability

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Q&A Probability of students given there are groups

0 answers · posted 1y ago by Pranav_M99‭ · edited 1y ago by Peter Taylor‭

Question probability statistics

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Q&A If A & B are joint, can Arby recoup some of his loss only when $P_{Arby}(A \cup B) < P_{Arby}(A) + P_{Arby}(B)$?

0 answers · posted 1y ago by DNB‭ · edited 1y ago by DNB‭

Question probability

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Q&A If Alice must've have classes on at least 2 days, why do you need the intersection of 3 $A_i^C$'s? [closed]

0 answers · posted 1y ago by DNB‭ · edited 1y ago by DNB‭

Question probability

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Q&A How would you vaticinate to $-w_k$ from both sides of $w_{k + 1} = \dfrac{w_k - (1 - p)w_{k - 1}}{p}$?

1 answer · posted 1y ago by DNB‭ · last activity 1y ago by Giannis‭

Question probability

33%

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Q&A Which vertical line signifies "putting the cutoff for a positive result at a very low level"?

0 answers · posted 1y ago by DNB‭ · edited 1y ago by DNB‭

Question probability

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Q&A Why's the true positive rate termed Sensitivity and true negative rate Specificity, not vice versa? [closed]

0 answers · posted 1y ago by DNB‭ · closed 1y ago by Peter Taylor‭

Question probability

28%

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

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

Question probability

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

0 answers · posted 1y ago by DNB‭ · edited 1y ago by Wolgwang‭

Question probability visualization

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Q&A How do you calculate $P(X = n|G), P(X = n|G^C)$ by the Law of Total Probability, with extra conditioning?

0 answers · posted 1y ago by DNB‭ · edited 1y ago by Wolgwang‭

Question probability

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Q&A Why $\color{red}{k\dbinom{k}{1}} \neq$ "first choose the k team members and then choose one of time to be captain"?

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

Question probability

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Q&A Does "both girls, ≥ 1 winter girl" = "both girls, ≥ 1 winter child" let you generalize the problem statement that postulated both children as girls?

0 answers · posted 1y ago by DNB‭ · edited 1y ago by DNB‭

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 1y ago by DNB‭ · edited 1y 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 1y ago by DNB‭ · edited 1y ago by DNB‭

Question probability

28%

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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 1y ago by DNB‭ · edited 1y ago by DNB‭

Question probability

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Q&A Why would skyrocketing the numbers of doors help laypeople intuit the Monty Hall Problem?

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

Question probability

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Q&A In $w_{k + 1} - w_k = (\frac{1 - p}{p})^{exponent}(w_1 - w_0)$, why isn't exponent $k + 1$?

1 answer · posted 1y ago by DNB‭ · last activity 1y ago by leovt‭

Question probability

25%

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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 1y 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 1y ago by DNB‭

Question probability

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Q&A How to vaticinate calculating $w_{k + 1} = w_1(1 + \dfrac{1- p}{p} + \dots + [\dfrac{1- p}{p}]^k)$ separately for $p = 1 - p$ and $p \neq 1 - p$?

0 answers · posted 1y ago by DNB‭ · edited 1y ago by DNB‭

Question probability

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Q&A How does P(Monty opens door 2) = P(Monty opens door 3), and $P(\text{get car}|M_2)P(M_2) = P(\text{get car}|M_3)P(M_3)$?

0 answers · posted 1y ago by DNB‭ · edited 1y ago by DNB‭

Question probability

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Q&A How to visualize multiplication in the Odds form of Bayes's Theorem?

0 answers · posted 1y ago by DNB‭ · edited 1y ago by DNB‭

Question probability

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Q&A How to visualize division in the Odds form of Bayes's Theorem?

0 answers · posted 1y ago by DNB‭ · edited 1y ago by DNB‭

Question probability

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Q&A How can "information about the birth season" bring "at least one is a girl" closer to "a specific one is a girl"?

1 answer · posted 1y ago by DNB‭ · last activity 1y ago by r~~‭

Question probability

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Q&A Intuitively, why would organisms — that after one minute, will either die, split into two, or stay the same, with equal probability — all die ultimately?

1 answer · posted 1y ago by DNB‭ · last activity 1y ago by Peter Taylor‭

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 1y ago by DNB‭ · last activity 1y ago by Moshi‭

Question probability

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Q&A If a 2nd test's independent from the 1st test, then why does $\frac{0.95}{0.05}$ figure twice in $\frac{P(D|T_1)}{P(D^C|T_1)}\frac{P(T_2|D,T_1)}{P(T_2|D^C,T_1)}$?

0 answers · posted 1y ago by DNB‭ · edited 1y ago by DNB‭

Question probability

28%

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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 1y ago by DNB‭ · edited 1y ago by DNB‭

Question probability

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Q&A Intuitively, why does A, B independent $\iff$ A, $B^C$ independent $\iff A^C, B^C$ independent?

1 answer · posted 1y ago by DNB‭ · last activity 1y ago by JRN‭

Question probability

28%

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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 1y ago by DNB‭ · edited 1y 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 1y ago by DNB‭ · edited 1y ago by DNB‭

Question probability

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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 1y ago by DNB‭

Question probability

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Q&A Why rational to be indifferent between two urns, when urn A has 50-50 red and white balls, but you don't know urn B's ratio?

2 answers · posted 2y ago by Chgg Clou‭ · last activity 1y ago by celtschk‭

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 1y ago by DNB‭ · edited 1y 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 1y ago by DNB‭

Question probability

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Posts tagged probability