Balls-into-Bins Model uniformly at random choose h:[m][n] m balls uniformly and independently thrown into n bins Question:probability that each ball lands in its own bin (h is 1-1)? Question:probability that every bin is not empty (h is onto)? Question:maximum number of balls in a bin(maxh()?Balls-into-Bins Model m balls n bins uniformly and independently thrown into uniformly at random choose h: [m]→[n] Question: probability that each ball lands in its own bin (h is 1-1)? Question: probability that every bin is not empty (h is onto)? Question: maximum number of balls in a bin (max{|h -1 (i)|})?