Meiosis
As with shuffling a deck of cards, many different combinations of genes can be produced without a change (mutation) in any individual gene. However, mutations do occur, and they may add alleles which were not in the population before. At any rate, the shuffling increases the variety of the offspring, and the variety gives at least some of the offspring a better chance of surviving in difficult times. The shuffling of alleles which takes place in meiosis may be the reason why sexual reproduction exists at all.