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Poverty rates for women are 30% higher than men, and in the Key child bearing years its 50% higher.

And social services / welfare are correspondingly higher for women.

I don't see why you're getting down-voted. As the Nth level parent comment mentioned (n = too lazy to count, social services often form a positive feedback loop that traps their recipients at that level so it would follow that if you give women and children more social services you'll trap more of them at that level.

Depends on how you define "social services." Services directed at veterans, job retraining for manufacturing workers, support for small businesses, etc., overwhelmingly benefits men.

You lose your bet