A computer monitor manufacturer subcontracts its major parts to four vendors A$,$B$,$C and D $.$ Past records show that vendors A and C provide $30\%$ of the requirements eah, vendor B provides $25\%$ and vendor D provides $15\%.$ In a random sample of $10$ parts $,4$ were found to be nonconforming. It is known that vendors A and C at a level of $5\%$ nonconformance rate, while vendors B and D are at $10\%$ and $15\%$ respectively. What is the probability that the sample came from the vendor A $?$ From vendor B $?$ and From vendor C $?$