A few people who have a 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 _%, and the probability that the person was cured because of the medicine is _%.

Question

Mathematics

Messiah

13 March, 16:12

A few people who have a 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 _%, and the probability that the person was cured because of the medicine is _%.

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Answers (1)

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Esperanza Murray · Answer 1

1. The probability that a person gets well is 70%,

2. the probability that the person was cured because of the medicine is 60%

Step-by-step explanation:

chance of curing by medicine=60%

chance of curing without medicine=10%

total chance of curing=60%+10%=70%

chance of person being cured by medicine=60%