Probability that the last card drawn is a spike while randomly drawing the deck of cards

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I am playing a card game. The goal is to withdraw randomly a card until there is no more. The symbol of the last card is the winning one, ie: if the last card is a spike, spike wins. Right now there are already 10 heart drawn, 10 spikes, 11 clubs and 12 diamonds; What is the probability that clubs win ? The deck of cards has a total of 52 cards, 13 of each symbol. Or how to solve the problem i a general way ? Let's say n heart, m spikes, k clubs, i diamonds already drawn. Thanks for your help.