Question: There are two dice in a box, one is fair: all outcomes are equally likely when rolling this die, the other is loaded the

There are two dice in a box, one is fair: all outcomes are equally likely when rolling this die, the other is loaded the probability of getting a six on any roll is 1/2 and all other outcomes are equally likely. A die is selected at random from the box (both with equal probability of being selected) and rolled twice, giving a result of six on both rolls. What is the probability that the fair die was rolled?

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