A group of 200 patients tested a new medication.Some tried the new medication, and the rest took the old medication.The results are reported in the following two-way frequency table.Improvement No improvementNew medication 27 63Old medication 37 73A patient is chosen at random from this group.Complete the following. Write your answers as decimals.(a)Find the probability that the patient showed improvement.=P(improvement)
Question
A group of 200 patients tested a new medication.Some tried the new medication, and the rest took the old medication.The results are reported in the following two-way frequency table.Improvement No improvementNew medication 27 63Old medication 37 73A patient is chosen at random from this group.Complete the following. Write your answers as decimals.(a)Find the probability that the patient showed improvement.=P(improvement)
Solution
To find the probability that a patient showed improvement, we need to add up the total number of patients who showed improvement and divide it by the total number of patients.
From the table, we can see that 27 patients who took the new medication showed improvement and 37 patients who took the old medication showed improvement.
So, the total number of patients who showed improvement is 27 + 37 = 64.
The total number of patients is 200.
Therefore, the probability that a patient showed improvement is 64 / 200 = 0.32.
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