(Solved): Assume that Ariel has two dice, one of which is fair, and the other is biased toward landing on six, ...

Assume that Ariel has two dice, one of which is fair, and the other is biased toward landing on six, so that of the time it lands on six, and of the time it lands on each of , , , , and . Ariel chooses a die at random and rolls it six times, getting the values What is the probability that the die Ariel chose is the fair die? The outcomes of the rolls are mutually independent.