Negligence Lawsuit????????

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I live in the State of New York. I live in a apartment build, well it is a house with two apartments. There is only one entrace and that is the same entrace you use to exit. Before you can go inside the apartment. you got to step on to the porch. The porch used to have to post for you to hold on to. But now it has one. because the porch is no good....and that post had rot off until it just broke off. Instead of the landlord/owner fixing it. he jus layed it along side the porch.It has been broken since Sept of 2006. It is now winter over here and the steps on the porch steps has ice and snow. and it is very slippery. One morning i was walking off of the porch and slipped and broke my arm. If that post was there i could of had some support to hold on to so i wouldnt have fallen, but that wasnt there and i landed on my arm and broke it. Could I sue my landlord for negligence and pain and suffering? Also if i have pictures and people such as the mail carrier and other tenants to back my story up about it being broken since Sept. of 2006