If you take two random integers of at m… by taupelink

function u(t) {

c.width=1920 // clear the canvas
for(i=0;i<9;i++)
x.fillRect(400+i*100+S(t)*300,400,50,200) // draw 50x200 rects

} // 122/140

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    u(t) is called 60 times per second.
    t: Elapsed time in seconds.
    S: Shorthand for Math.sin.
    C: Shorthand for Math.cos.
    T: Shorthand for Math.tan.
    R: Function that generates rgba-strings, usage ex.: R(255, 255, 255, 0.5)
    c: A 1920x1080 canvas.
    x: A 2D context for that canvas.

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taupelink

remix of d/15380 by u/taupelink

function u(t) {

g=(a,b)=>b?g(b,a%b):a;f=()=>Math.random()*1e7|0;t||(m=n=0);n++;g(f(),f())-1||m++;x.fillRect(n%1920,1080*(1-m/n),1,1);throw m/n

Aug 11 2019 4:25 AM UTC

}// 126/140

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If you take two random integers of at most 7 digits each, what is the probability that they are relatively prime? This simulation suggests somewhere around 60%

u/taupelink

In the graph, the x-axis shows number of trials, modulo 1920 (i.e. with wraparound). The y-axis shows % of trials with GCD 1, with 0% at bottom and 100% at top.
u/taupelink

After a little Web searching: Under more general conditions, the precise answer appears to be 6/π^2, or about .608. See, e.g., https://www.cut-the-knot.org/m/Probability/T…
u/aleamb

#math


      u(t) is called 60 times per second.
      t: elapsed time in seconds.
      c: A 1920x1080 canvas.
      x: A 2D context for that canvas.
      S: Math.sin
      C: Math.cos
      T: Math.tan
      R: Generates rgba-strings, ex.: R(255, 255, 255, 0.5)

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