Bank a Million numbers

No source told us how many balls this draw uses, so we took the highest number we have actually seen drawn (40). If a ball has never come up, the real pool is larger and every expected frequency below is slightly overstated. Treat the comparison as indicative.

Across 1,163 draws, each number is expected about 174 times. 2 numbers look unusual on their own — but testing all 40 numbers at once means about 0.4 should look that way by luck alone, so the threshold tightens to 2.5e-4. Nothing survives it: these draws behave exactly as random draws should.

Nothing here predicts the next draw. Each draw is independent: a number absent for fifty draws is exactly as likely to appear tonight as one drawn yesterday. The point of comparing against expectation is to show when a difference is ordinary — which, in a fair draw, it almost always is.