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Question - A study has been done to determine whether or not a certain drug leads to an improvement in symptoms for patients with Covid-19. 800 patients were administered the new drug while 400 patients were administered a placebo. They were then asked if there was an improvement in their symptoms after 48 hours. The results are shown in the following table.
Drug
Placebo
Total
Symptoms improved
270
120
390
No improvement
530
280
810
800
400
1200
One patient is selected at random.
Required - What is the probability that that the patient was administered the drug and had their symptoms show signs of improvement?
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