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Liberace and Rock Hudson — left handed?

Can any1 tell me if either one of these famous people are left handed? Didnt rock hudson and liberace both died of aids?
I am trying to get list of celebrities who died of aids and left handed to see if there is a correlation. But so far I have only two and then Im not sure. I have read where rock hudson is left handed but I cant find what he died from. It is nonconclusive but its a step in the right direction.