Probability laws of quantum mechanics

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Waveparticle
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Im currently reading Entanglement by Amir D. Aczel and it talks about the Wu-Shaknov experiment of positronium emission where two particles annihilate each other and two high energy photons are emitted. It goes onto say that due to the probability laws of quantum mechanics, every so often three photons would have to be emitted as well. My question is, is it possible for these two particles to create an infinite amount of photons due to the probability or is their a limit to the number of photons that can be emitted.
 
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It's not possible for them to create an infinite amount of photons, no.

I suppose it's possible for them to create a very large number, although the exact number of photons would depend on the process in question. But it'd be extremely improbable. A two-photon emission (where you'd normally have one) itself is very improbable.