In Chemistry, half-life is a way of calculating based on experimental information, how many days will half of the mass or concentration of a certain compound will decay from its initial value.
In our case we have Radon-222, which has a half life of 3.8 days and initial mass of 100 grams, let's see how much of mass Radon-222 will have after 30 days
0 - 3.8 days = 50g
3.8 - 7.6 days = 25 g
7.6 - 11.4 days = 12.5 g
11.4 - 15.2 days = 6.25 g
15.2 - 19 days = 3.125 g
19 - 22.8 = 1.56 g
22.8 - 26.6 = 0.78 g
26.6 - 30.4 = 0.39 g
Therefore after 30 days, we will have 0.39 grams of Radon-222