SpottedGeck

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?

For #thisweeksfiddler: We are in a race where other bikers will sprint if their strength >0.5, while we sprint if our leg strength >t. What is our chance of winning?

For #thisweeksfiddler, what's the maximum score we can reach in a game of bowling if we knock down a given number of pins?

For #thisweeksfiddler, we're in a race where we increase our speed continuously to the end. (1+b)v(2x) = v(x), where x is the distance remaining in the race and b is the factor we increase our speed.

For #ThisWeeksFiddler, we evaluate win probabilities for a best of 7 series. My graphical approach:

For #ThisWeeksFiddler : Setting up a chain of dominoes using the geometric distribution: Cross-posted on bsky.app/profile/spotte…

#scrollTo=MSW5yn1EJ6QF" target="_blank" rel="nofollow noopener">colab.research.google.com/drive/1PfBxj8S…

Varying the number of hats

For #thisweeksfiddler, picking rabbits out of a hat. A near linear trend. Cross-posted on bsky.app/profile/spotte…

My response for #ThisWeeksFiddler thefiddler.substack.com/p/can-you-defe…: colab.research.google.com/drive/12234aKb…

My attempt for #ThisWeeksFiddler. I also didnt find anything better than the side by side arrangement.

@lise_andreasen No, but I should put them together!

@lise_andreasen Great estimation of the area

#ThisWeeksFiddler, 20250131 You’re taking a math exam, and you’ve been asked to draw the graph of a function. That is, your graph must pass the vertical line test, so that no vertical line intersects your function’s graph more than once. 1/3 stuff.ommadawn.dk/2025/02/04/thi…

For #ThisWeeksFiddler (thefiddler.substack.com/p/can-you-spin…), what is the probability that a random orientation of a pyramid will pass the vertical line test? colab.research.google.com/drive/1lefsoVQ…

For #ThisWeeksFiddler, we explore random hops on infinite lily pads. What is the chance we get to the 1st lily pad?

@JoshRos83402777 For the EC the balls fall 50-50

@SpottedGeck It looks like you have B=E=1/6 in Row 1 for (1/3, 1/3, 1/3). Why doesn't B=1/12 (1/3*1/4) since the balls fall to the left 1/4 of time and E=1/4 (1/3*3/4) since the balls fall to the right 3/4 of the time?

For #ThisWeeksFiddler by @xaqwg , we explored the distribution of a pinball board, alternating through 2, 3 slots

For #ThisWeeksFiddler by @xaqwg , a game of Mingle from Squid Game, where for each round a random group size from 1 to 10 is called.