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

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
Total	800	400	1200

One patient is selected at random.

What is the probability that that the patient was administered the drug and had their symptoms show signs of improvement ?

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