Exact combinatorics · London mulligan

Will one target appear before you stop mulliganing?

This calculator answers one narrow question under the two-player Magic: The Gathering London mulligan: keep the first hand that can retain at least one target; otherwise mulligan up to your limit.

Your exact scenario

Known inputs

  • one complete, uniformly shuffled deck;
  • one target category whose members are interchangeable;
  • the fixed keep policy shown above;
  • a two-player game with a normal seven-card starting hand.

Unknown or excluded

  • multiplayer and Brawl's free first mulligan;
  • cards or effects that modify the starting hand;
  • multi-card packages and conditional keeps;
  • later draws, game outcomes, wagers, prices, or paid risk.