Ivanhoe and Isaac became pirates a long time ago. Both of them run for the position of captain. Everybody slips his envelop in the box one after the other. Ivanhoe receives P votes, and Isaac receives Q votes. Assuming P>Q, what is the probability for Ivanhoe to lead during the entire voting process ? If for instance the P votes for him have all been slipped first, he was clearly ahead the whole time. If the very first pirate voted for Isaac, then Ivanhoe was not ahead at this point.