Estimate the probability that nuclear reactor-produced electronic antineutrino has an interaction with a proton when traversing the earth. Cross section for antineutrino interacting with a proton is 10-43 cm², mean earth radius is 6.37x108 cm, and mean mass density of the Earth is 5.52 g/cm3. Use 10 decimal places for the answer. Hint: Approximate Earth as iron.

Estimate the probability that nuclear reactor-produced electronic antineutrino has an interaction with a proton when traversing the earth. Cross section for antineutrino interacting with a proton is 10-43 cm², mean earth radius is 6.37x108 cm, and mean mass density of the Earth is 5.52 g/cm3. Use 10 decimal places for the answer. Hint: Approximate Earth as iron.