Nostradamus's Last Breath

Nostradamus predicted, “Tomorrow, at sunrise, I shall no longer be here.” He was right.

Assume that there are \( 2 \times 10^{22} \) molecules in each breath, and that there are \( 10 ^{44} \) molecules of air in the atmosphere (with negligible loss over the centuries). What is the probability that the next breath you take contains at least one molecule of Nostradamus's last breath?

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