Suppose you have a die that has probability p of resulting in the outcome 6 when rolled, where p is a continuous random variable that is uniformly distributed over [0,1/3]. Suppose you start rolling this die. (The value of p does not change once you start rolling.) Give exact answers as simplified fractions.

a) Compute the probability that the first roll is 6.

b) Compute the probability that the first two rolls are both 6.

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