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China virus probability problem


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There’s been 100 people tested.....

 

Only one really has it

 

Test clears 80

 

Test claims 20

 

So you are part of 20 people and 19 will be cleared

 

So 1 out of 20’is 5%

 

5% is the answer

stop, none of that was in the question, he got a positive test, it's 80% accurate, so there's an 80% chance it was right. The 1% has nothing to do with it.

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The virus test is apparently only 80% accurate. So 1/5 tests give the wrong answer.

 

Assume 1% of people have the virus.

 

If you get a positive test, what is the actual chance you have the virus?

 

$100 Bitcoin to first correct answer

100 people tested and only 1 really has it

 

Doc clears 80 and picks 20

 

Boatdummy is one (1) he is sweating it out with 19 others

 

What are his chances his boat has sunk?

 

5%

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