What is the probability that a nonce is a solution for the block . In the sense how many times we have to change nonce to solve the block

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Every hash means one guess. Currently Monero network has ~2.3 GHash/s hashrate and blocks get find every ~120 second.

~2.3 * ~120 = ~282 Ghash required to find a block. 282 Ghash means 282,000,000,000 Hash

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