Researchers found that only one out of 24 physicians could give the correct answer to the following problem:
"The probability of colorectal cancer can be given as .3%
if a person has colorectal cancer the probability that the hemoccult test is positive is 50%.
If a person does not have colorectal cancer, the probability that he still tests positive is 3%.
What is the probability that a person who tests positive actually has colorectal cancer? Does this surprise you?