This question about probability

Write the python program (code) and solve this question !

Nuclear power plants have redundant components in important systems to reduce the chance of catastrophic failure. Assume that a plant has two gauses to measure the coolant level in the reactor core and that each gauge has a probability 0.01 of failing. Assume that one potential cause of gauge failure is that the electric cables leading from the core to the control room where the gauges are located may burn up in a fire. Someone wishes to estimate the probability that both gauges fail and makes the following calculation:

( )=( )( )=(0.01)(0.01)=0.0001

a. What assumption is being made in this calculation?

b. Explain why this assumption is probably not justified in the present case.

c. Is the probability of 0.0001 likely to be too high or too low? Explain.