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How Is a Validator Selected in a Typical PoS System?

In a typical Proof-of-Stake (PoS) system, a validator is selected to propose or attest to a new block through a pseudo-random process that is weighted by the amount of cryptocurrency they have staked. A validator with a larger stake has a proportionally higher chance of being selected, but randomness ensures that smaller stakers still have a chance.

This mechanism incentivizes staking and secures the network by making the next block producer unpredictable.

What Is the Relationship between the Size of a Stake and the Likelihood of Being Chosen as a Validator?
How Does Proof-of-Stake (PoS) Achieve Consensus without a Difficulty Adjustment Mechanism?
What Is “Proof-of-Stake” (PoS)?
What Mechanisms Are in Place to Prevent Validator Collusion in PoS?