A branch of the PROFIT-Bank has found that on average \(68 \%\) of its customers visit the branch for routine money matters (type 1-visitors), \(14 \%\) are there for investment matters (type 2-visitors), 9\% need a credit (type 3 -visitors), \(8 \%\) need foreign exchange service (type 4 -visitors), and \(1 \%\) only make a suspicious impression or even carry out a robbery (type 5 -visitors).

(1) What is the probability that amongst 10 randomly chosen visitors \(5,3,1,1\), and 0 are of type 1, 2, 3, 4, or 5 , respectively?

(2) What is the probability that amongst 12 randomly chosen visitors 4, 3, 3, 1, and 1 are of type \(1,2,3,4\), or 5 , respectively?