Yes, but bear in mind, if God had started shuffling a 52 card deck at the Big Bang at a rate of 1 shuffle per millisecond he would still have a long way to go until it being guaranteed to have a duplicate deck order.
And that’s a 52 element set. Your and your wives’ dna has several orders of magnitude more elements so it would take orders of magnitude to the power of orders of magnitude longer.
In other words, even if all the people that ever existed and will ever exist until the sun goes supernova were all your children the chance of getting two identical children would still be infinitesimal.
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