/sci/ - Science & Math

>>14833725
I don't think just that 1 precalculus book is enough anon. The basics for algebra and analysis requires you to draw from multiple branches of math. From linear algebra, to calculus, from geometry to series.

>>11706422
I once did try it because I didn't believe it and it is true.
You can simply do it as a thought experiment.
Each box has 1/3 chance of being picked.

Box 1 always gives GG.
Box 2 gives GS or SG by 1/2 chance.
Box 3 always gives SS.

If you pick a box 300 times you'll pick each box around 100 times, so you'll get:

100 GG
50 GS
50 SG
100 SS

Only GG and GS are relevant, because then you picked the golden ball first like stated in the experiment.

In 150 cases you picked the golden ball first.
In 100 out of these you picked the box 1 with GG which will yield another golden ball on the second draw.
100 of 150 is 2/3.
Only in 50 cases you picked box 2 with GS, which only is 1/3 of the cases.

So the chance to pick another golden ball after you already picked one is definetly 2/3.