There is a function called “ROOT::Math::MinimizerOptions::SetPrecision()” and another one called “ROOT::Math::MinimizerOptions::SetTolerance();”. Are they the same?

Thank you for reporting this typos. I will fix it now.

Concerning your question, SetPrecision and SetTolerance are different. SetTolerance is used for the minimisation convergence, when the expected distance from the minimum is less than the given tolerance the minimisation will stop.
SetPrecision can be used to notify Minuit that a different precision is used when computing the objective function. In general when double precision is used to compute the function, there is no need to change the default precision using SetPrecision