If you are good at it, then you can finish it easily. It is probably a 50% vs 50% chance of completing it if you just started playing.
Different answerer: I've found the odds of winning one suit games is about 90%, the odds of winning two suit games is about 55%, & the odds of winning four suit games is about 15%. I don't know how to prove this mathematically. But, one could write a computer program that 1). makes a random deal, then 2). plays that draw in all possible ways to see if that deal is winnable. You could impose rules for play & speed the play. 3). Add one to the possible or not possible tallys. Then, make another deal.
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There are a variety of places where one can find and play spider solitaire online. This includes the website of the same name "Spider Solitaire" as well as "Solitaire Bliss". Gametop as well as Great Day games also allows one to play Spider Solitaire for free online.
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The odds of completing a flush after the flop in Texas Hold'em are approximately 34.97.
I'm reading a biography about Franklin D. Roosevelt and in this book, it talks about how he liked to play solitaire with 5 decks of cards and he called it "spider." So I think it was FDR.
The odds of completing a backdoor straight draw in poker are approximately 5.1 or 19.5 to 1.