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Q: If you flip a coin forever, are you guaranteed to eventually flip an equal number of heads and tails?

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At this time there have been 20 more heads than tails and it could be said that heads is “dominant”. Since that includes #-of-heads = #-of-tails, then eventually (in less than infinite time) you’ll always flip the same number of heads as tails. However you get back to zero, you’ll have to flip the coin 2N times (you can’t have an equal number of heads and tails if you flip an odd number of times). If the 2Nth coin flip brings the tally to zero (for the first time), then on the 2N-1th coin flip the tally was +1 as well. So, in a very technical/mathematical sense, if you flip a coin forever, then eventually you’ll get the same number of heads as tails.