Why do rarer poker hands rank above more common hands?

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In poker, the ranking of hands is determined by their mathematical frequency, or probability. The value of a hand is in inverse proportion to how often it occurs; therefore, the more unusual or rare a specific combination of cards is, the higher it ranks.12

Because there are 2,598,960 possible five-card hands that can be dealt from a 52-card pack, the science of the game is built upon these relative expectancies. Rarer hands are assigned higher ranks because they are statistically more difficult to achieve, providing a clear, objective hierarchy that governs the game's strategy. This mathematical basis ensures that players holding rarer, stronger hands are rewarded for the lower likelihood of being dealt those combinations.3