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Posts tagged probability

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Tag Only Tag + Children
57%
+2 −1
Q&A Strange behavior in elections and pie charts

2 answers  ·  posted 7mo ago by TheCodidacter, or rather ACodidacter‭  ·  last activity 3mo ago by Agent Smith‭

Question probability
33%
+1 −4
Q&A 25% probability that there was a chance of avoiding injury $\quad$ vs. $\quad$ 25% chance of avoiding injury

2 answers  ·  posted 12mo ago by DNB‭  ·  last activity 7mo ago by Agent Smith‭

Question probability
75%
+4 −0
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 1y ago by siric‭  ·  edited 1y ago by tommi‭

Question probability convex-hull
33%
+0 −2
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 2y ago by DNB‭  ·  last activity 2y ago by viäränlaenen‭

Question probability
50%
+0 −0
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 2y ago by Tyma Gaidash‭  ·  edited 2y ago by Tyma Gaidash‭

Question probability equation median inverse
33%
+0 −2
Q&A Why 1. multiply the number of independent options? 2. add the number of exclusive options?

3 answers  ·  posted 2y ago by DNB‭  ·  last activity 2y ago by Tim Pederick‭

Question probability
33%
+0 −2
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 3y ago by DNB‭  ·  last activity 2y ago by Tim Pederick‭

Question probability
33%
+0 −2
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 2y ago by DNB‭  ·  edited 2y ago by DNB‭

Question probability
40%
+0 −1
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 2y ago by DNB‭  ·  edited 2y ago by DNB‭

Question probability
40%
+0 −1
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 2y ago by DNB‭  ·  last activity 2y ago by Peter Taylor‭

Question probability
33%
+0 −2
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 2y ago by DNB‭  ·  last activity 2y ago by whybecause‭

Question probability
50%
+0 −0
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 2y ago by DNB‭  ·  edited 2y ago by DNB‭

Question probability
33%
+0 −2
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 2y ago by DNB‭  ·  edited 2y ago by DNB‭

Question probability
28%
+0 −3
Q&A Without calculations, how can you visualize "that half the squares are white and half are black"?

1 answer  ·  posted 3y ago by DNB‭  ·  last activity 2y ago by whybecause‭

Question probability
50%
+1 −1
Q&A In general, does $\color{forestgreen}{P(A|M)} + \color{red}{P(B|M)} = 1$?

1 answer  ·  posted 2y ago by DNB‭  ·  last activity 2y ago by whybecause‭

Question probability
50%
+1 −1
Q&A Acceptable, usual to write $\ge 2$ pipes simultaneously?

1 answer  ·  posted 2y ago by DNB‭  ·  last activity 2y ago by Derek Elkins‭

Question probability
50%
+0 −0
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 2y ago by DNB‭  ·  edited 2y ago by DNB‭

Question probability
50%
+0 −0
Q&A Probability of students given there are groups

0 answers  ·  posted 2y ago by Pranav_M99‭  ·  edited 2y ago by Peter Taylor‭

Question probability statistics
40%
+0 −1
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 3y ago by DNB‭  ·  edited 2y ago by DNB‭

Question probability
50%
+0 −0
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 3y ago by DNB‭  ·  edited 2y ago by DNB‭

Question probability
40%
+0 −1
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 2y ago by DNB‭  ·  last activity 2y ago by Giannis‭

Question probability
33%
+0 −2
Q&A Which vertical line signifies "putting the cutoff for a positive result at a very low level"?

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

Question probability
33%
+0 −2
Q&A Why's the true positive rate termed Sensitivity and true negative rate Specificity, not vice versa? [closed]

0 answers  ·  posted 2y ago by DNB‭  ·  closed 2y ago by Peter Taylor‭

Question probability
28%
+0 −3
Q&A Why aren't the "21 possibilities here" NOT equally likely?

1 answer  ·  posted 3y ago by DNB‭  ·  edited 2y ago by Wolgwang‭

Question probability
33%
+0 −2
Q&A How can I visualize the Law of Total Probability with extra conditioning?

0 answers  ·  posted 2y ago by DNB‭  ·  edited 2y ago by Wolgwang‭

Question probability visualization
40%
+0 −1
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 2y ago by DNB‭  ·  edited 2y ago by Wolgwang‭

Question probability
50%
+1 −1
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 3y ago by DNB‭  ·  edited 2y ago by Wolgwang‭

Question probability
33%
+0 −2
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 2y ago by DNB‭  ·  edited 2y ago by DNB‭

Question probability
28%
+0 −3
Q&A How would you intuit, and soothsay to rewrite, "both girls, ≥ 1 winter girl" as "both girls, ≥ 1 winter child"?

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

Question probability
28%
+0 −3
Q&A How do I prove Simpson's Paradox, scilicet $P(A|B) > P(A|B^C)$?

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

Question probability
28%
+0 −3
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 2y ago by DNB‭  ·  edited 2y ago by DNB‭

Question probability
71%
+3 −0
Q&A Why would skyrocketing the numbers of doors help laypeople intuit the Monty Hall Problem?

1 answer  ·  posted 2y ago by DNB‭  ·  edited 2y ago by DNB‭

Question probability
28%
+0 −3
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 2y ago by DNB‭  ·  edited 2y ago by DNB‭

Question probability
42%
+1 −2
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 2y ago by DNB‭  ·  last activity 2y ago by leovt‭

Question probability
25%
+0 −4
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 2y ago by DNB‭

Question probability
28%
+0 −3
Q&A How can I exploit symmetry to intuit P(A wins) + P(B wins) = 1, without performing algebra?

0 answers  ·  posted 2y ago by DNB‭

Question probability
40%
+0 −1
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 2y ago by DNB‭  ·  edited 2y ago by DNB‭

Question probability
33%
+0 −2
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 2y ago by DNB‭  ·  edited 2y ago by DNB‭

Question probability
40%
+0 −1
Q&A How to visualize multiplication in the Odds form of Bayes's Theorem?

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

Question probability
40%
+0 −1
Q&A How to visualize division in the Odds form of Bayes's Theorem?

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

Question probability
37%
+1 −3
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 2y ago by DNB‭  ·  last activity 2y ago by r~~‭

Question probability
42%
+1 −2
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 2y ago by DNB‭  ·  last activity 2y ago by Peter Taylor‭

Question probability
25%
+0 −4
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 2y ago by DNB‭  ·  last activity 2y ago by Moshi‭

Question probability
33%
+0 −2
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 2y ago by DNB‭  ·  edited 2y ago by DNB‭

Question probability
28%
+0 −3
Q&A How do these 3 bell curves of Likelihood, Posterior, Prior pictorialize the Odds form of Bayes' rule?

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

Question probability
50%
+1 −1
Q&A Intuitively, why does A, B independent $\iff$ A, $B^C$ independent $\iff A^C, B^C$ independent?

1 answer  ·  posted 2y ago by DNB‭  ·  last activity 2y ago by JRN‭

Question probability
28%
+0 −3
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 3y ago by DNB‭  ·  edited 2y ago by DNB‭

Question probability
28%
+0 −3
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 2y ago by DNB‭  ·  edited 2y ago by DNB‭

Question probability
33%
+0 −2
Q&A Why isn't the probability of being void in 3 specifi c suits $\frac{1/13}{\dbinom{52}{13}}$?

0 answers  ·  posted 3y ago by DNB‭

Question probability
57%
+2 −1
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 3y ago by Chgg Clou‭  ·  last activity 3y ago by celtschk‭

Question probability
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