Roll it up.
We have two dice. One is fair, but the other is skewed with the probability of getting a 6 being
We roll the dice for a total of 100 times following these rules:
- First, the fair die is rolled.
- In the subsequent rolls, if the previous roll was a 6, then the skewed die is rolled; otherwise, the fair one is rolled.
What is the expected number of 6's coming up in these 100 rolls?
The answer is 24.875.
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