<Li> Turning only one card at a time, but placing no limit on passes through the deck . </Li> <Li> Turning three cards at once to the waste with no limit on passes through the deck, but allowing the player to switch once to a single pass through the deck one card at a time; after that single pass, however, the player cannot go back to turning three cards at a time and can turn over no more cards from the waste . </Li> <P> For a standard game of Klondike, drawing three cards at a time and placing no limit on the number of re-deals, the number of possible hands is over 7067800000000000000 ♠ 8 × 10, or an 8 followed by 67 zeros . About 79% of the games are theoretically winnable, but in practice, human players do not win 79% of games played, due to wrong moves that cause the game to become unwinnable . If one allows cards from the foundation to be moved back to the tableau, then between 82% and 91.5% are theoretically winnable . Note that these results depend on complete knowledge of the positions of all 52 cards, which a player does not possess . Another recent study has found the Draw 3, Re-Deal Infinite to have a 83.6% win rate after 1000 random games were solved by a computer solver . The issue is that a wrong move cannot be known in advance whenever more than one move is possible . The number of games a skilled player can probabilistically expect to win is at least 43% . In addition, some games are "unplayable" in which no cards can be moved to the foundations even at the start of the game; these occur in only 0.025% (1 in 4,000) of hands dealt . </P> <P> There are four types of hands: winnable games, theoretically winnable lost games (the player made a selection that resulted in a lost game, but could not know what the correct selection was because the relevant cards were hidden), unwinnable games (there is no selection that leads to a winning result), and unplayable games . </P>

What are the odds of winning a game of solitaire