MathDB
Putnam 1970 A6

Source: Putnam 1970

May 17, 2022
Putnamprobabilityexpected valueinterval

Problem Statement

Three numbers are chosen independently at random, one from each of the three intervals [0,Li][0, L_i ] (i=1,2,3i=1,2,3). If the distribution of each random number is uniform with respect to the length of the interval it is chosen from, determine the expected value of the smallest number chosen.