Radon-222 is created in a series of radioactive decays starting with 92238U and ending with 82…

Radon-222 is created in a series of radioactive decays starting with 92238U and ending with 82 206Pb. The half-life of 222Rn is 3.8 days. (a) If the half-life is so short, why hasn’t all the 222Rn gas decayed by now? (b) If the halflife of 222 Rn were much shorter, say a few seconds, would it be more dangerous to us or less dangerous? What if the half-life were much longer, say thousands of years?
 
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