What Is the Statistical Expectation of Shares Needed to Find a Block at a Given Difficulty?

The statistical expectation of shares needed to find a block is directly proportional to the network's current difficulty. Specifically, it is the network difficulty divided by the pool's share difficulty.

This value represents the theoretical average number of shares the pool must submit to find a valid block solution. This expectation is the basis for all pool payout calculations, particularly PPS.

Why Is the Probability of a Single Share Being a Valid Block Extremely Low?
What Is the Formula for Calculating the Required Margin Given a Leverage Level?
What Is the Impact of a Very High Individual Hash Rate on the Pool’s Share Difficulty Setting?
How Is the Difficulty of a Mining ‘Share’ Set by the Pool Operator?
What Happens If a Miner Submits a Share That Meets the Network Difficulty but Not the Pool’s Target Difficulty?
How Does the Pool Difficulty Setting Relate to the Network Difficulty?
What Is the Difference between a ‘Share’ and a ‘Valid Block’?
How Does a Mining Pool Operator Calculate the Guaranteed Payout Rate for PPS?

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