Quantum mechanics shows that radioactive decay and other fundamental physical processes are irreducibly probabilistic, with no preceding event type that strictly necessitates the succeeding event.

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Determinism (implied contrast)(as the opposite view being challenged by quantum mechanics): The idea that everything that happens is completely determined by what came before it—like dominoes falling in a perfectly predictable chain.
Irreducibly probabilistic(describing the nature of quantum processes): Something that is random in a way you can never get rid of—you can only predict the odds it will happen, never say for certain what will happen.
Necessitates(describing what happens when you change one thing in a system of internal relations): Forces something to happen or be true; makes it unavoidable or logically required.
Quantum mechanics(the scientific framework being discussed): The science of how the tiniest things in the universe (atoms, electrons, photons) behave—which turns out to work very differently than everyday objects.

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