Three contractors A,B,C are bidding for the construction of a new office building. The probability that C will get the contract is half the B's probability of getting the same: again, the probability that B will get the contract is `(5)/(7)`th of A's probability of getting the same. Find the probability of each to get the contract. (Assume that one of the three contractors A,B,C will get the contract.)

Answer

`(5)/(29)`