Question: two dice multiply to a number less than 15. 3. You have 10 dice in your pocket, 9 of which are fair and one of

two dice multiply to a number less than 15. 3. You

two dice multiply to a number less than 15. 3. You have 10 dice in your pocket, 9 of which are fair and one of which always comes up 1. If you take a random die from your pocket and after rolling it 3 times it comes up 1 every time, what is the probability that the die you picked is fair? Hint: a good definition of the sample space for this experiment would be to take it to consist of ordered pairs (d, r) such that d = "fair" or "not fair" indicates the type of die chosen and r = (r1, 12, 13) records the three dice rolls. Who

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