Top Tweets for #thisweeksfiddler
#ThisWeeksFiddler
I hit on the below 6x6 prime 2026 magic square, butcouldn't find an 8x8. Anyone with more luck?
337 367 307 421 241 353
293 331 383 271 317 431
389 281 347 359 439 211
401 167 313 349 647 149
233 311 17 487 379 599
373 569 659 139 3 283
#ThisWeeksFiddler, 20251031
This week the #puzzle is: How Much Does Game 1 Matter? #probabilities #combinatorics #PascalsTriangle #animation
You and your opponent are beginning a best-of-seven series, meaning the first team to win four games wins the series.
🧵
#ThisWeeksFiddler, 20251024
This week the #puzzle is: Will the Odds Be Ever in Your Favor? #odds
With the regular season over, there are two clear favorites for baseball’s American League Most Valuable Player (MVP) award according to ESPN:
🧵
#ThisWeeksFiddler, 20251017
This week the #puzzle is: Can You Reach the Edge of the Square? #average #geometry #trigonometry #integral
You start at the center of the unit square and then pick a random direction to move in, with all directions being equally likely.
🧵
#ThisWeeksFiddler, 20251010
This week the #puzzle is: Let’s Make a Tic-Tac-Deal! #probabilities
The game of Tic-Tac-Deal 2.0 has a 3-by-3 square grid with the numbers 3 through 11, arranged as follows:
3 4 5
6 7 8
9 10 11
🧵
#ThisWeeksFiddler, 20251003
This week the #puzzle is: When Will You Cross Your Path? #geometry #angle
Anita the ant is going for a walk in the sand, leaving a trail as she goes. First, she walks 1 inch in a straight line. Then she rotates counterclockwise by an angle 𝝋, 🧵
#ThisWeeksFiddler, 20250926
This week the #puzzle is: Can You Take a “Risk”? #ExpectedValue #probabilities #permutations #MonteCarlo
Regarding Risk. At the end of each turn in the game in which you conquer at least one enemy territory on the board, you are dealt a card.
🧵
#ThisWeeksFiddler, 20250919
This week the #puzzle is: Can Your Team Self-Organize? #permutations #LongestIncreasingSubsequence
In a recent team building exercise at work, a group of people (including myself) was asked to quantify themselves in various ways. For example:
🧵
#ThisWeeksFiddler, 20250912
This week the #puzzle is: Can You Box the Letters? #permutations
In the game of Letter Boxed from The New York Times, you must connect letters together around a square to spell out words.
🧵
#ThisWeeksFiddler
x1<1/2
Integrate[1-b, {b, a, 1/2}] + Integrate[b, {b, 1/2, 1}] = 3/4 - a + a^2/2
Integrate[3/4 - a + a^2/2,{a,0,1/2}] = 13/48
x1>1/2
Integrate[(1-b),{b,0,1/2}]+Integrate[b,{b,1/2,a}]= a^2/2 + 1/4
Integrate[a^2/2 + 1/4,{a,1/2,1}] = 13/48
Ptot = 2*13/48 = 13/24
All New PS5 and PS4 Games Releasing This Week: 8th–14th September
For Full Story:
https://t.co/jvmM00mGt2
#PS5 #PS4 #Games #Sony #Releasing #ThisWeeksFiddler #8th14th #September #StreetFighter #ComputerGames #Digital

#ThisWeeksFiddler, 20250905
This week the #puzzle is: How Low (or High) Can You Go? #probabilities #volume #area #random
You’re playing a game of “high-low,” which proceeds as follows:
First, you are presented with a random number, x1, which is between 0 and 1.
🧵
#ThisWeeksFiddler, 20250822
This week the #puzzle is: How Far Can You Run Before Sundown? #maximum #strategy #recursion
https://t.co/diSiowwvhI
#ThisWeeksFiddler
MilesProbability
317/256
3.532/256
424.75/256
4.572/256
59.1875/256
5.533/256
620.0625/256
6.548/256
Avg=3*17/256+3.5*32/256+4*24+3/4)/256+4.5*72/256+5*(9+3/16)/256+5.5*33/256+6*(20+1/16)/256+6.5*48/256 = 19933/4096 ~ 4.8665
For #thisweeksfiddler, we race among randomly selected loops of length 1, 3, 3.5, 4.5 miles at a 10 min/mi pace. If unfinished loops don't count and we have 65 min left to race, how can we maximize the avg total distance completed?

#ThisWeeksFiddler
EC: W= $90 cash with 50% likelihood from the outset.
First bet the entire $55 on one side. This has 50% probability of winning $55 cash while retaining the $55 of vouchers.
After winning use the same strategy as in Part 1 to add $35 or more cash guaranteed.
#ThisWeeksFiddler, 20250815
A casino offers you $55 worth of “free play vouchers.” You specifically receive three $10 vouchers and one $25 voucher.
You can play any or all vouchers on either side of an even-money game (think red vs. black in roulette, ...
🧵
#ThisWeeksFiddler, 20250808
This week the #puzzle is: Can You Canoodle at the Coldplay Concert? #probabilities #geometry #integral #estimat #montecarlo
All the many attendees at a particular Coldplay concert are couples. As the CEO of Astrometrics, Inc.,...
#ThisWeeksFiddler
https://t.co/3DrcxKQR1d

#ThisWeeksFiddler
Extra Credit: 2+sqrt(2) ~ 3.414
https://t.co/jEA1WuPWRB

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