What is the posterior probability

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Your company want to give out 10 Million Free COVID tests. Given that 60/10,0000 people are generally affected (you can expect this rate to hold for your tests as well). Since no test is perfect, both 97% of positive results and 94% of negative results are accurate ((ie. 3% of tests are false positives)

What is the posterior probability that a patient has Coid-19 given that they test positive for COVID?

My logic:
.6%(10m Million) = 60000
97% of 60,000 is 58200
Am lost after here/pretty sure that I did something wrong

Reference no: EM132950594

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