A word problem. I need some guidance?

devyn

New member
Here is the problem straight off my assignment:
"3.A laboratory test for a disease afflicting 5% of the population is either positive, indicating the disease is present, or negative, indicating the disease is not present. When people having the disease are tested, 80% of the tests come back positive, and when people who don’t have the disease are tested, 15% of the tests come back from the lab marked positive (a “false positive” result). What are the chance a randomly selected person’s test results would come back positive? Use a tree diagram and construct a probability distribution table."

Here is what I am asking in regards to the question above:
How do I determine what the probability of it coming back positive is?
 
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