Calculation Card Game Calculator -

Calculation Solitaire Card Game Calculator

Plan your moves in the calculation card game (aka calculation solitaire card game). Track foundation progress, remaining cards by rank, and get instant odds for a playable next card or within the next k draws—plus an estimate of draws until the next play. Includes a practice deck to test strategies.

Deck Size (no jokers) Standard deck is 52 cards (4 copies per rank).

Cards Seen / Dealt For odds: remaining = deck − seen.

Look-ahead Draws (k) Compute P(at least one playable in next k draws).

Foundation Progress (cards already placed on each stack) • Stacks build by +1, +2, +3, +4 (wrapping A→K)

Stack 1 (start Ace, +1) 0 means next needed = A.

Stack 2 (start 2, +2) 0 means next needed = 2.

Stack 3 (start 3, +3) 0 means next needed = 3.

Stack 4 (start 4, +4) 0 means next needed = 4.

Adjust Remaining Cards by Rank (optional)

Default assumes 4 copies per rank remain minus those already played. Edit if you’ve seen discards/exposed cards.

Practice mode: creates a fresh shuffled 52-card deck and shows whether each draw is playable.

Calculation Card Game

Calculation is a patience/solitaire game with four foundations that build in arithmetic progressions: +1 starting at Ace, +2 at 2, +3 at 3, and +4 at 4 (wrapping through the ranks). This card game calculator shows your real-time odds for the next playable card and within the next k draws.

Calculation Solitaire Card Game – How It Works

Enter deck size and how many cards you’ve seen.
Set each foundation’s progress (how many cards already placed on that stack).
Optionally edit remaining copies per rank if you’ve tracked exposed cards.
Click Calculate to get precise probabilities and an expected draw count.
Use Practice Deck to step through a shuffled deck and see playable hits.

Math Behind the Odds (Hypergeometric)

Let N=remaining cards, M=favorable cards (sum of remaining copies of every needed rank). Then
P(next is playable) = M / N
P(at least one playable in next k) = 1 − C(N−M, k) / C(N, k)
Expected draws to first playable (no replacement) ≈ (N+1)/(M+1)

Card Game Calculator (Fairness & House Rules)

This tool helps evaluate difficulty by comparing favorable ranks to the remaining deck. Increase challenge by reducing tableau moves; relax it by allowing one reserve pile.

How to Play Calculation Card Game (Quick Guide)

Foundations: A,+1 ; 2,+2 ; 3,+3 ; 4,+4 (wrap modulo 13 to K).
Deal cards one by one. Play to foundations when a rank matches the next needed number on any stack.
House variants may allow limited waste/redeal—adjust “seen” and rank counts to match.

How to Calculate if a Card Matching Game is Fair

Compare P(playable in next k) to your decision tempo. If k equals the size of a typical waste before a redeal, values above ~60% suggest forgiving play; below ~30% is harsh. You can use the bar chart and table to spot bottleneck ranks (e.g., Kings on the +4 stack).

FAQs: Calculation / Calculation Solitaire Card Game

What are “progress” numbers?

The number of cards already placed on each foundation. Progress=0 means you still need the starting rank (A, 2, 3, 4). Each new card advances by its stack’s step (+1,+2,+3,+4).

Why do ranks “wrap”?

After King (13), add the step and wrap around modulo 13 to continue (e.g., +4 stack goes 4,8,12,3,7,11,2,6,10,1,5,9,13).

How do I track exposed cards?

Open “Adjust Remaining Cards by Rank” and reduce counts for ranks you’ve seen in waste or foundations.

What does “Expected draws to next play” mean?

Average draws (without replacement) before you hit a playable card, given current M and N. It’s an analytic approximation: (N+1)/(M+1).

Can I simulate full win chances?

This page focuses on near-term playability. We can add a deeper Monte Carlo to estimate completion probability if you want.