Question: There are two urns: urn 1 has three chips one with 1 on them and two with 2's on them; urn 2 has 5 chips

There are two urns: urn 1 has three chips one with 1 on them and two with 2's on them; urn 2 has 5 chips with 1's and 2's, but we don't know how many of each. Let n= the total number with 1 in both urn 1 and urn 2. Choose one chip from urn 1 and put it into urn 2. Now choose one chip from urn 2. Let X=number on the chip from urn 1 and Y=number from urn 2, then;

a) find P(Y=1). Your answer should be in terms of n.

b) P(X=1 | Y=1)=3/7, then what is n?

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