Music Bingo — Playlist Length Calculator

5×5 cards, free center (24 live titles). Each round ends when the first card in the room completes that round's pattern.

Format

New cards + new songs each roundFully independent rounds. Each round gets its own song pool and its own cards.New cards, one song pool reusedSame songs every round in a fresh shuffle, but players get a new card each time.Same card all night — marks stayOne card, one continuous playlist, no resets. Patterns are cumulative milestones.Same card all night — wiped each roundPlayers keep their card but clear it between rounds. Same pool re-called in a new order.

Inputs

Total event time (min)

Number of rounds

Cards in play

Play time per song (sec)

Gap between songs (sec)

Overhead per round (min)

Plan for

Safety buffer

Round patterns

Round 1 4 or 5squares11songs16min

Round 2 4squares15songs36min

Round 3 8squares27songs69min

Round 4 24squares42songs119min

Each round runs its own call sequence, so an easy pattern makes a short round and a hard one makes a long round. The pool is sized so the whole ladder fills your window.

212

songs needed — 48 unique per round × 4 rounds (incl. +10%)

Breakdown

Song slots in window

Songs actually played

Pool size / round

50%

Card / pool overlap

119

Runtime (min)

Slack vs window (min)

The night, minute by minute

R2 16m

R3 29m

R4 46m

R1 · Any single lineR2 · Four cornersR3 · X (both diagonals)R4 · Blackout (full card)host overhead

The equation

STEP 1 — song slots the clock allows slots = floor( (T×60 − R×O×60) ÷ (t + g) ) = floor( (120×60 − 4×4×60) ÷ (60 + 5) ) = 96 STEP 2 — songs each pattern takes, out of a pool of N A card holds 24 of the N songs. For a pattern needing m fixed squares, P(card has it after n calls) = ∏ᵢ₌₀..ₘ₋₁ (n−i)/(N−i) and the round ends when 1 − (1 − P)^C ≥ 0.5 R1 Any single line n = 11 R2 Four corners n = 15 R3 X (both diagonals) n = 27 R4 Blackout (full card) n = 42 STEP 3 — pool sized so the whole ladder fills the window Σ n(pattern, N, C) ≤ slots → N = 48 Σ = 11 + 15 + 27 + 42 = 95 ≤ 96 ✓ STEP 4 — playlist total P = R × N × (1 + buffer) = 4 × 48 × 1.10 = 212

Each round is its own race, so the times add. Swapping a blackout round for a single-line round frees up most of that round's time, which the solver spends on a deeper pool instead.

How long each pattern takes

Pattern	Squares needed	Songs to first win	Share of pool	Minutes
Any single line ←	4 or 5	11	23%	11.9
Four corners ←	4	15	31%	16.3
Two lines	8–10	19	40%	20.6
Plus (centre row + column)	8	27	56%	29.3
X (both diagonals) ←	8	27	56%	29.3
Outer frame	16	38	79%	41.2
Blackout (full card) ←	24	42	88%	45.5

Computed for your pool of 48 songs and 120 cards. Swap any round to one of these to see the night re-time itself.

Sensitivity to crowd size

Cards in play	Songs played	Runtime (min)	Playlist needed
10	124	150	159
25	111	136	181
50	103	128	194
100	96	120	212
120 ←	95	119	212
250	88	111	229
500	83	106	247

Your pattern ladder held fixed; only the door count changes. A bigger room finds every pattern sooner, so the same ladder runs short — which is why a busy night needs a deeper pool to fill the same window.

Exact hypergeometric model for fixed patterns, Poisson approximation for multi‑line wins. Validated against Monte Carlo simulation to within 1–2 songs.