Perdido na tradução

In this post is the new math puzzle. If you think that you know the answer, please post it in the comments section. In honor of today being Agricultural Reform Day in Sao Tome and Principe and International Translation Day, parts of this puzzler are written in Portuguese (These parts are underlined).

Joe e Jane estão jogando um jogo chamado duelo cartão. Neste jogo, dois baralhos completos (sem jokers) são embaralhados juntos. The two players then take turns drawing cards off the top of the deck, one at a time. Whoever gets two of the same card first (suit and rank) wins. If Joe goes first, what is his percent chance of winning? Por favor, volta a sua resposta com a aproximação de décimo de milésimo de um por cento.