Hindus believe that the Atman (soul) is immortal passing through the process wherein the Atman reincarnates into different physical bodies through cycles of birth and death. Guided by the Laws of Karma, the Atman continues on its path of spiritual evolution. The ultimate aim of Hindus is for the Atman to attain freedom from this continuous cycle of birth and rebirth and discover its divine origin.
Imagine a single tennis game where the person who has the serve, also has been given an ability to serve an Ace 100% of the time. What are the rules for success where the coin toss can determine game outcomes? Would you believe there is any merit in learning to play the game well? What if you just play one game, a single event? Would you think the game is fair?
If you answer is NO, then you have just made an argument in favor of reincarnation. You just have to conclude that for the world to be non-random, there have to be multiple games played, and the success in one game improves the beginning odds in the next game.
If you disagree, then you have just concluded that all life is random, and there is very little advantage in learning to live better.
Despite the dogma against it in the western world, there are still scientific studies done on remembering past lives. The Medical School at University of Virginia maintains a site and has written several scientific papers journaling reported pre-birth experiences that are very analogous to the detailed descriptions in the Hindu Tradition. Just read with an open mind.
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Other reading material: HAF: Do Hindus believe in reincarnation? Division of Perceptual Studies | University of Virginia School
Back When I Was Older : Invisibilia , Reincarnation: WHO is it that Travels? Atma? Jiva? Subtle body?
Relevant videos: Swami Nikhilanand What is Reincarnation?, What happens when we die?, Can I be born as a plant or animal? Swami Tadatmananda on reincarnation: Reincarnation: WHO is it that Travels? Atma? Jiva? Subtle body?
Contribution: Gaurav Rastogi
Location of this post (15b): https://www.hinduspeakers.org/ufaqs/do-hindus-believe-in-reincarnation/