Basically Northern would be found negligent for checking its sidewalks 3 times a day because the court would compare the cost of avoiding the accident altogether which would be by checking the sidewalks 9 times a day, Xa.
Using the Limited Information Incremental Learned Hand Standard, a court would look at whether the victim was taking her optimal level of precautions. What can be asked is was the victim wearing appropriate footwear, maybe whether she was running, skipping, injured previously, basically does Ms. Sophomore meet her standard of care. So if Ms. Sophomore does, then yes Northern would be negligent and vice versa.
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