Quantitative 2) let's do some rearranging parta: if3x4 12, what s what is p(a and b) p(a) part b: if p(a) x p(bia) p(a and b), what is let's consider the spreadsheet data again from the national cancer institute the data present the risk for us. men of developing cancer ("all sites") as 42.05%, and for us men dying from cancer ( all sites") as 22.62%. let's take a closer look at these statistics. these numbers are based on incident and mortality data from 2010 to 2012. the risk . the incidence data for getting cancer were determined by dividing the number of u. s. the mortality rate was calculated by dividing the number of u. s. male deaths due to males who have cancer by the number of u. s. males in the population. cancer in one year by the total number of u. s. male deaths during that time period. look at it another way: given all the male deaths in one year, what percent were due to cancer? the mortality cancer or what your risk is for dying from that cancer. in other words, the two sections of the table have different base numbers. let's translate this information into probability notation. rate does not tell us what the chances are if you are male and diagnosed with 3) what is the probability that a u. s. male will have cancer in his lifetime? p(will have cancer | u. s. male) what is the probability that a u. s. male will die from cancer in his lifetime? p(die from cancer | u. s. male) 4) what is the probability that a u. s. male will die from cancer if he has been diagnosed with cancer? 5) p(die from cancer) p(male die from cancer i male has cancer) p(has cancer) copyright@ 2016, the charles a. dana center at the university of texas at austin