While monitoring what other people are gathering, give priority to combining those sets first. In Holly Rummy, you can create a strong hand that increases your chances of winninj slotsng by striking a balance between pursuing your own melds and blocking your opponents' attempts. Luck's Function in Holly Rummy. Both skill & luck play a significant role in how each game turns out in Holly Rummy. Each round starts with a random card distribution, which adds a degree of chance since certain players might get better hands than others.