Rum Punch is a classic Caribbean cocktail made with rum, fruit juice, sugar syrup, and water. To prepare it, all you need to do is remember this Caribbean saying: “One of sour, two of sweet, three of strong, and four of weak.” A shot of fruit juice, two shots of sugar syrup, three shots of rum, and four shots of water are combined in a big glass or a jug, then poured into a glass over ice.