Question

Type the correct answer in each box.
A few people who have particular disease take part in a medical trial that tests the effect of a medicine on the disease. Half the people are
given medicine and the other half are given sugar pills, which have no effect on the disease. The medicine has a 60% chance of curing someone,
but people who do not get the medicine still have a 10% chance of getting well.
The probability that a person gets well is
96, and the probability that the person was cured because of the medicine is
%.

Answer 1

Answer:

35 and 1 :)

Step-by-step explanation:

plato/edm fam

Answer 2

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%

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