Mathematics

40%

+0 −1

To correct for overcounting, why can't we divide by the sum of the over-counts? [duplicate]

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

combinatorics

40%

+0 −1

Why must percent change divide the difference by the old, NOT new, value?

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

percentage

40%

+0 −1

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

probability

40%

+0 −1

While pictorializing $|x - y| < |x + y|$, how can 1 picture simultaneously prove (Reverse) △ Inequalities, $|x-y| ≤ |x|+|y|, |x|-|y| ≤ |x-y|$? [duplicate]

0 answers · posted 7mo ago by Tortilla‭ · closed as duplicate 7mo ago by Peter Taylor‭

visualization

40%

+0 −1

What is a one-variable fragment of first-order logic?

0 answers · posted 2mo ago by Julius H.‭

logic

37%

+1 −3

Why do the Expected Values differ, for different wagers of the same lottery?

1 answer · posted 10mo ago by Chgg Clou‭ · last activity 10mo ago by Peter Taylor‭

lottery

37%

+1 −3

Solely by eye, how can 16 year olds visually distinguish $\color{red}{\vec{b} - \vec{r}}$ from $\color{limegreen}{|\vec{b}| - |\vec{r}|}$ ?

2 answers · posted 7mo ago by Tortilla‭ · last activity 7mo ago by Olin Lathrop‭

visualization

37%

+1 −3

Are these introductory logic textbooks wrong to teach ‘unless’ = ‘or’? [duplicate]

0 answers · posted 3mo ago by 8500 Ward‭ · closed as duplicate 3mo ago by Peter Taylor‭

logic

37%

+1 −3

How can I generalize a picture for the Mean Value Theorem to the Generalized MVT?

1 answer · posted 3y ago by TextKit‭ · edited 3y ago by TextKit‭

calculus visualization

37%

+1 −3

If money's less valuable in the two-bullet case of the Russian Roulette problem, then ought you pay more to remove a bullet when the gun has $\ge 2$ bullets?

0 answers · posted 3y ago by Chgg Clou‭

probability

37%

+1 −3

What's wrong with evaluating $n(n-1) \dots (n-[k-3])(n-[k-2])\color{red}{(n-[k-1])}$ at $k = 1$?

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

notation

37%

+1 −3

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 3y ago by DNB‭ · last activity 2y ago by r~~‭

probability

37%

+1 −3

How can you analogize mathematical induction to dominoes falling, if some domino can fail to topple? [closed]

1 answer · posted 2y ago by Chgg Clou‭ · closed 2y ago by Peter Taylor‭

induction

37%

+1 −3

Find all integer solutions for $a_1(a_1+k)(a_1+2k)...(a_1+(2k+1)d)+1 = n^2$ [closed]

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

arithmetic algebra series

33%

+2 −6

Can we add without using addition?

3 answers · posted 2y ago by General Sebast1an‭ · last activity 2y ago by DavidCary‭

equation arithmetic

33%

+0 −2

Inhomogenous differential equations in sciences

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

calculus equation differential applied-mathematics

33%

+0 −2

How do mathematicians measure area for points?

1 answer · posted 2y ago by deleted user · last activity 2y ago by zavier‭

geometry area point border perimeter

33%

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Intuitively, why can $a, b$ cycle in ${\color{red}{b}} = \frac c{\color{red}{a}} \iff {\color{red}{a}} = \frac c{\color{red}{b}}$?

3 answers · posted 2y ago by Chgg Clou‭ · last activity 2y ago by whybecause‭

arithmetic

33%

+0 −2

Is Mathematical Induction truly "induction", or misnamed? [closed]

3 answers · posted 2y ago by Chgg Clou‭ · closed 2y ago by Peter Taylor‭

induction

33%

+0 −2

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

probability

33%

+0 −2

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

probability

33%

+0 −2

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

probability

33%

+0 −2

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

probability

33%

+0 −2

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

probability

33%

+1 −4

How can you "easily see that such squares [of side length $\sqrt{13}$ and $\sqrt{18}$] will not fit into the [4 × 4] grid"?

1 answer · posted 2y ago by DNB‭ · last activity 2y ago by Tim Pederick‭

geometry

33%

+0 −2

How to intuit, construe multiplicands and multiplicators $\le 10$ resulting from $\dbinom pc$, WITHOUT division or factorials? [duplicate]

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

combinatorics

33%

+0 −2

How can you foretell if a problem is one whose solution admits a simple mathematical description?

0 answers · posted 3y ago by Chgg Clou‭

geometry

33%

+0 −2

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

0 answers · posted 3y ago by DNB‭ · reopened 3y ago by Monica Cellio‭

probability

33%

+0 −2

De-mystifying tricks – If $\{x_n\}$ converges, then Cesaro Mean converges.

1 answer · posted 3y ago by TextKit‭ · last activity 3y ago by thelast19digitsofpi‭

analysis

33%

+0 −2

Why's the unique sub-game perfect equilibrium, that the first player should offer around $1.25 to player 2?

0 answers · posted 3y ago by Chgg Clou‭

game-theory

33%

+0 −2

Why should the near-zero prior probability, of 9/11/2001 attacks on the World Trade Centre, overwhelm any subsequent response that may have lowered the objective risk?

0 answers · posted 3y ago by Chgg Clou‭ · edited 3y ago by Chgg Clou‭

probability

33%

+1 −4

What's mathematically fallacious with Edvin Hiltner's Lotterycodex patterns, to maximize your chance of winning lotteries? [closed]

0 answers · posted 1y ago by Chgg Clou‭ · closed 1y ago by Mithical‭

lottery

33%

+0 −2

$\left(\forall \varepsilon >0: |a-b| < \varepsilon\right) \iff a=b$ vs. $\left(\forall \varepsilon > 0: a \le b + \varepsilon \right) \iff a \le b$

1 answer · posted 6mo ago by YorkTech‭ · edited 6mo ago by Peter Taylor‭

inequality

33%

+1 −4

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

probability

33%

+0 −2

2 construals "of 100 patients presenting with a lump like the claimant’s in Gregg v Scott, 42 will be ‘cured’ if they are treated immediately."

2 answers · posted 12mo ago by DNB‭ · last activity 12mo ago by r~~‭

statistics

33%

+1 −4

How to decide whether to buy a lottery with a too negative EV, but passable $\Pr($you win jackpot at least once│n plays)? [closed]

0 answers · posted 9mo ago by Chgg Clou‭ · edited 9mo ago by Chgg Clou‭

lottery

33%

+1 −4

Without trial and error, how can I effortlessly deduce all $n, k_i ∈ ℕ ∋ \binom n {k_1, k_2, ..., k_n} =$ given c?

1 answer · posted 8mo ago by Chgg Clou‭ · edited 8mo ago by Chgg Clou‭

combinatorics

33%

+0 −2

What is "continuous" in Math?

3 answers · posted 2y ago by deleted user · last activity 2y ago by deleted user

terminology

33%

+0 −2

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 3y ago by DNB‭

probability

33%

+0 −2

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

0 answers · posted 3y ago by DNB‭

combinatorics

33%

+0 −2

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

probability

33%

+0 −2

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

probability

33%

+0 −2

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

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

probability

33%

+0 −2

Why so many books on introduction or bridges to proofs for undergraduates?

0 answers · posted 3y ago by Chgg Clou‭ · edited 2y ago by r~~‭

logic

33%

+0 −2

How does counting E twice explain the discrepancy between the third between C and E, third between E and G v. fifth between C and G?

1 answer · posted 2y ago by Chgg Clou‭ · last activity 2y ago by leovt‭

arithmetical-hierarchy

33%

+0 −2

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

probability

33%

+0 −2

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

0 answers · posted 3y ago by DNB‭

probability

33%

+0 −2

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

probability

33%

+0 −2

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

0 answers · posted 3y ago by DNB‭ · edited 2y ago by Wolgwang‭

probability visualization

33%

+0 −2

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

probability

Communities