Big Gamer

Dan loves playing Minecraft PvP. He faces off in a duel against his friend until he wins. Dan wins each match with probability $0 < p < 1$. What is the minimum number of matches that Dan must play to have a probability of at least $0 < q < 1$ of winning at least one match? Solve this when $p = 0.05$ and $q = 0.8$.