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Plinko Gamesโ€บToolsโ€บPlinko odds calculator

Free calculator ยท Canada ยท CA$ ยท live

Plinko odds calculator

Exact probability of every bucket for 8โ€“16 rows and all three risk levels, plus RTP, house edge and how rare the top multiplier really is.

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Probabilities are exact binomial values; RTP is computed from the paytable.

RTPโ€”
House edgeโ€”
Top multiplierโ€”
Odds of top (either side)โ€”
Drops paying โ‰ฅ1ร—โ€”
Std dev per dropโ€”
Expected lossโ€”

Bucket probabilities

How Plinko odds work

A ball dropped onto a board with n rows makes n left-or-right decisions, each a fair coin. The bucket it ends in is simply the number of rights it took, so the probability of bucket k is C(n,k)/2n โ€” the binomial distribution. On 16 rows the middle bucket collects 12,870 of the 65,536 possible paths (19.6%) and each corner collects one (0.0015%).

The paytable is built so that the sum of (probability ร— multiplier) comes to about 0.99 at every setting. That is why the calculator's RTP hovers at 99% whether you pick 8 rows low or 16 rows high โ€” the operator's edge is roughly 1% of every drop regardless of how spiky the board looks.

Reading the results

  • Drops paying โ‰ฅ1ร— is the share of balls that return at least your stake. It ranges from about 80% (16 rows, low) to 21% (16 rows, high).
  • Std dev per drop is the size of a typical swing relative to your bet: 0.33ร— on low, 6.6ร— on high. Multiply by the square root of the number of drops to size a session.
  • Odds of top counts both corners. The 1,000ร— on 16 rows high is 1 in 32,768.

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