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Sagot :
The probability that a person gets well is 0.35
The probability that the person was cured for medicine is 0.8571
How to elaborate the problem ?
Let, 1000 people have the particular disease who attend the medical trial.
Half of them are given exact medicine , i.e. 500 people
Half of them are given sugar pills, i.e. another 500 people
The people who get medicine, 60% of them are curing.
So, 60% of 500 = 0.6 × 500 = 300 people cured with medicine
And the remaining 200 people remains ill.
Now, who get sugar pills, 10% of them are curing.
So, 10% of 500 = 0.1 × 500 = 50 people cured with medicine.
And remaining 450 people remains ill.
How to find required probabilities ?
The total number of people cured = 300+50=350
∴ The probability that a person gets well = 350/1000 = 0.35 =35%
Again, Number of people cured with medicine = 300
So, Probability that the person was cured for medicine = 300/350 =0.8571(approx) = 85.71%
Learn more about Probability here :
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