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What's a low effort, but impressive, party trick to learn?
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I've done this one before and it's always worked for me. The one difference I do is after they put the card on top of the deck I give them the deck and tell them they can cut it as many times as they'd like. By cutting the deck it's incredibly unlikely they'd separate their chosen card and the top card. Plus it makes them think they have more control over things
That's risky depending on how adamant they are about cutting. If they're cutting a random spot each time, at 10 cuts there's an ~18% chance they've split the two cards up. Your odds are 50/50 at 35 cuts.
Wow I love that you did the math! That's really surprising it gets to 50% relatively quickly how neat. I can definitely say no one ever cut more than 10 times when I tried it but I can certainly see that happening if someone wanted to have a laugh with it