A foot doctor treats three categories of skin diseases Athletes foot (60%), Warts (35%),and Skin Cancer (5%). The first attempted treatments' effectiveness depends on the disease. Given Athletes foot the

probability the treatment is effective is 85%, given Warts the treatment is 75% effective, and give Skin Cancer the treatment is 99%effective. 1. What is the overall proportion of first treatments that are not effective? 2. Given a patient's first treatment was not effective, what is the probability they were treated for warts?