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Success rate for a new hypothetical cancer treatment drug.

A new cancer treatment provides 50% success rate for patients with lung tumors. Lung tumors make up 10% of all cancer patients. What percentage of all cancer patients will this new drug work on?
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Suppose we take a sample of 100 cancer patients then 10% of them have lung tumors or 10 people 5 or 50% of these patients will be cured so the percent of all cancer patients that the drug will work on is( 5/100)*100 or 5%.