An urn contains 3 red balls and 7 yellow balls. We perform an experiment with the urn and a fair coin as follows: we randomly select a ball from the urn. If the ball is red then the coin is flipped one time; if the ball is yellow, the coin is flipped twice. We define a random variable Y as the number of heads obtained in the experiment. If p(y) denotes the probability function for the random variable Y, find p(0).

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