AARahman wrote:
> Question:
> Assume you have applied for two scholarships, a Merit scholarship (M) and an
> Athletic scholarship (A). The probabilitythat you receive an Athletic
> scholarship is 0.18. The probability of reveiving both scholarship is 0.11.
> The probability of getting at least one of the scholaarship is 0.3.
>
> a. What is the probability of receiving the athletic scholarship given that
> you have been awarded the Merit scholarship?
>
> b. What is the probability of receiving the Merit scholarship given that
> you have been awarded the Athletic scholarship?
It is often easier to do these (as a beginner anyway) if you
convert to a "concrete" problem with proportions of a finite set.
There are a hundred students. 18 of them [0.18 x 100]
have an Athletic scholarship ...(etc)
(a') What proportion have an athletic scholarship, among those with a
merit scholoarship?...(etc)
-Robert Dawson
.
.
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