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Unknown to a medical researcher, 10 out of 22 patients have a heart problem that will...

Unknown to a medical researcher, 10 out of 22 patients have a heart problem that will result in death if they receive the test drug. 6 patients are randomly selected to receive the drug and the rest receive a placebo. What is the probability that less than 5 patients will die? Express your answer as a fraction or a decimal number rounded to four decimal places.

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