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Thanks so much, Nir.

On your first point, as I say, it doesn't haven to be completely random: we can adjust someone's odds upwards if the intervention they need is especially cost-effective. The exact adjustment in odds for very cost-effective procedures can be decided by the policymaker. This allows a compromomise between pursuit of fairness and pursuit of maximum aggregate health.

On your second, I'm not convinced rightaway but suspect there's something here! Let me think about it.

A.