A fair coin is flipped 20 times, and we observe 12 heads. Find the c.pdf

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A fair coin is flipped 20 times, and we observe 12 heads. Find the conditional expectation for the number of heads in the first 10 tosses. Let Y2 represent the number of Heads in 20 independent tosses. Let Y1 represent the number of Heads in the first ten tosses. Find the conditional probability mass function for (Y1|Y2) . You should recognize the conditional probability distribution for Y1|Y2 then the expectation will be straightforward. Solution started off, but got stuck.

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