Kevin’s family has a history of diabetes. the probability that kevin would inherit this disease is 0.75. kevin decides to take a test to check if he has the disease. the accuracy of this test is 0.85.what is the probability that kevin has diabetes and the test predicts this? 0.0375 0.1125 0.2125 0.6375 0.8725

To get the intersection of the both event you can simply multiply the both events because those two events are independent to each other so the formula would be (0.75) time (0.85) and the probability would be 0.6375. I hope you are satisfied with my answer and feel free to ask for more. 
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The answer would be 0.6375. you take the probability that Kevin inherited the disease which is 0.75 and times it by the probability that the test is accurate which is 0.85. you will come up with 0.6375 which on plato is answer choice D.

May consider a group  g=({0,1},+)g=({0,1},+)where  ++  will work as the xor operator like we work in boolean algebra. note here, that ‘00’ and ‘11’ are not the usual 0 and 1 that we work with everyday. the elements are  called  ‘00’ and ‘11’ and  may not mean  zero (nothing) and one (single). ‘00’ is the identity for the given binary operator +, meaning that any element operated with ‘00’ gets us that element itself.  for a set  ss  in  g′g′  having more elements than just  {0,1}{0,1}  the values for  a+b∈sa+b∈s, such that  a∈s,b∈sa∈s,b∈s, have to be first defined, only then can you determine the value of  1+11+1. the answer could possibly have been  22  if oanswer is25,000

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