You flip a fair coin. If the coin lands heads, you roll a fair six-sided die 100 times. If the coin lands tails, you roll the die 101 times. Let X be 1 if the coin lands heads and 0 if the coin lands tails. Let Y be the total number of times that you roll a 6. Find P (X=1|Y =15) /P (X=0|Y =15) .
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