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Free lessons that leave you a little sharper every visit — plus deep guides to the professional tools. Knowledge shouldn't sit behind a paywall.

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How many two-word business names are actually in the hat?
2026-10-23 · 2 min read

A name generator built from a prefix list and a suffix list is just a grid — multiply the two list sizes and that's every combination it can ever produce.

businesswork
The odds of a coin flip streak, worked out
2026-10-23 · 2 min read

A fair coin has no memory, so each flip is still 50/50 no matter what came before — but a run of several flips in a row is a different, much rarer question, and here's the exact arithmetic.

mathmental-math
How many digits should a PIN actually have?
2026-10-22 · 2 min read

A PIN's strength is just 10 raised to the digit count — here's the exact combination count and bit figure for each length, and why going from 4 to 6 digits matters more than it sounds.

securityprivacy
Is a random pick from a list actually fair?
2026-10-22 · 2 min read

Fair means every item has the same 1-in-N chance — here's how to check that arithmetic yourself, and the real odds behind picking the same thing twice in a row.

mathgenerators
How many bits is your passphrase actually worth?
2026-10-21 · 3 min read

A passphrase's strength is just word-count times bits-per-word, plus whatever's on the end — here's the arithmetic, worked on a real 2048-word list.

securityprivacy
How many bits is a hex API key actually?
2026-10-21 · 2 min read

An API key's strength is just its length times 4 bits per hex character — here's why that number is exact, and what length actually buys you.

securitydev
Why your X (Twitter) card still shows the wrong image, even after Open Graph
2026-10-20 · 2 min read

X reads its own twitter: tags first and only falls back to Open Graph if they're missing — here's the fallback order and how to check which tags actually won.

seoweb
Why a skipped survey question is not a 'no', and how to count it right
2026-10-20 · 3 min read

Every percentage in a survey tally has to state the number it was taken over, because people skip questions — and the base changes question to question.

devdata
Why your link preview looks wrong, and how Open Graph tags fix it
2026-10-19 · 2 min read

Facebook, LinkedIn and Slack don't render your page when you paste a link — they read four meta tags. Here's what each one does and the size that actually fits.

seoweb
What a robots.txt file actually tells a crawler
2026-10-19 · 2 min read

It's a request, not a lock — three lines of syntax, one honest limitation, and the one rule that trips people up.

seoweb
How to group and average rows by hand before you write SQL
2026-10-18 · 2 min read

GROUP BY just sorts rows into buckets and runs one function per bucket — do it with a pencil once and the SQL stops looking like magic.

devdata
Turning a column of numbers into a KPI card by hand
2026-10-18 · 2 min read

A KPI card is four numbers — sum, average, min and max — computed over one column; do the arithmetic once and a dashboard stops feeling like a black box.

devdata
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