Elections in Chefland

There is going to be an election in Chefland between Alice and Bob. In an election, all voters stand in a queue and vote one by one. Voter at position $i$ in the queue votes at the beginning of $i$-th minute. After the results were declared, Alice got $A$ votes and Bob got $B$ votes. Thus, the voting happens for $A+B$ minutes. Chef, being an statistician, decided to play with election results. He