Final answer:
The radiation-induced yearly risk of cancer for a 30 mSv exposure is approximately 33.3 in a million, or 1 in 30,000, which does not match any of the provided answer options exactly. The closest answer would be 1 in 10,000, though this is not precise.
Step-by-step explanation:
The question relates to calculating the radiation-induced yearly risk of death from cancer for a plumber at a nuclear power plant who received a dose of 30 mSv.
We know from the information provided that a dose of 1 rem (0.01 Sv) results in a yearly risk of 10 in a million, which is equivalent to 100 in a million (or 1 in 10,000) for 0.1 Sv. Therefore, the risk from a dose of 30 mSv (0.03 Sv) would be three times less, since 30 mSv is one third of 0.1 Sv.
This results in a yearly risk of 100/3 in a million, or approximately 33.3 in a million, which is equivalent to 1 in 30,000. This risk is not among the options provided in the question, but it is important to note that the scale and precision of our calculation methods and the options given are mismatched.
Without additional context or specific calculation protocols from regulatory agencies, the closest answer from the provided options would be 1 in 10,000, although it is not an exact match.