6. Tally & Payouts

Combinatorial winners

For a ticket with k picks and m matches against the drawn 6, counts per tier are:

• 6 hits: (c_6 = \binom{m}{6})

• 5 hits: (c_5 = \binom{m}{5} \cdot \binom{k-m}{1})

• 4 hits: (c_4 = \binom{m}{4} \cdot \binom{k-m}{2})

• 3 hits: (c_3 = \binom{m}{3} \cdot \binom{k-m}{3})

These represent how many 6-number combinations inside your ticket qualify for each tier.

Example (single ticket)

• Picks k = 15, and exactly 3 of them match the draw (m = 3):

  • (c_3 = \binom{3}{3} \cdot \binom{12}{3} = 1 \cdot 220 = 220) winners in tier‑3.

  • You’ll receive 220 * perWinnerUSDT[3] and 220 * perWinnerPLAY[3].

  • This is expected behavior: your ticket contained 220 different 6-number combos that hit 3 numbers.

Per-winner amounts

• Each tier has pools: tierPoolUSDT[t] and tierPoolPLAY[t].

• After tally: perWinnerUSDT[t] = tierPoolUSDT[t] / winners[t] (if winners[t] > 0; else 0).

• Same for $PLAY.

• Any remainder (“dust”) and empty-tier amounts roll into carryover (USDT/$PLAY) for the next round’s 6-hit pool.

Claims

• After FINALIZED, token owner calls claim(tokenId).

• Contract transfers due USDT/$PLAY and marks the ticket as claimed.