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Wes is trying to determine whether or not a coin has two heads. He cannot see the coin; he only knows the outcome after it

Wes is trying to determine whether or not a coin has two heads. He cannot see the coin; he only knows the outcome after it is flipped. He believes with probability 0.3 that it has two heads, so: Pr(H)=0.3. If it does not have two heads, it is a fair coin. The first flip is heads, after which he updates his probability using Bayesian updating. The second flip is also heads, and he again updates his probability. What is his updated probability after the second flip? Round your answer to two decimal places. (Hint: his updated probability after the first flip is his new prior belief before the second flip.)

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