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evildaemonlad

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A basketball player misses 30% of his free throws. He ends up in a situation where he has the potential to shoot two penalty shots if and only if he lands the first shot (called a one and one, I believe). The outcome of the 2nd shot is independent of the first.

> Find the expected number of points resulting from the "one and one"

Here I'm assuming expected number equates to expected value -> E(x) = S x P(x) (S = sigma)

I've set up a table thusly so that I might take the sum of the 3rd column (x denotes successful shots):

x____P(x)____xP(x)

0...?...0

1.....

2.....

The issue that I am having is how to express the dependence of even taking a second shot upon this first. My gut is telling me that the first entry under P(x) ought to be .3 but after that I'm lost. Any pointers would be appreciated!