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Math Help - conditional probability question that I am having trouble with

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    conditional probability question that I am having trouble with

    There are 100 people with a certain disease. Of these, 10 are randomly selected to receive a drug that increases the number cured from 50 to 75 percent. what is the probability that a person received the drug if he is known to be cured?
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    Re: conditional probability question that I am having trouble with

    C is the patient being cured & R is the occurance the patient has recieved the drug.

    You need to find \displaystyle P(R/C)= \frac{P(R\cap C)}{P(C)} where \displaystyle P(C)= \frac{75}{100}, P(R)= \frac{10}{100}

    Now find \displaystyle P(R\cap C) and you have everything you require.
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    Re: conditional probability question that I am having trouble with

    Quote Originally Posted by makaveli2178 View Post
    There are 100 people with a certain disease. Of these, 10 are randomly selected to receive a drug that increases the number cured from 50 to 75 percent. what is the probability that a person received the drug if he is known to be cured?
    \mathcal{P}(D|C)=\frac{\mathcal{P}(D\cap C)}{\mathcal{P}(D\cap C)+\mathcal{P}(D^c\cap C)}.
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