For this problem think about rolling a red d6 and a blue d6

For this problem, think about rolling a red d6 and a blue d6.

1. What is the probability that their sum is greater than or equal to 9?

2. What is the probability that their sum is greater than or equal to 9 twice in a row (if you roll the pair of dice twice)?

3. What is the probability that the red d6 is greater than or equal to 4 if their sum is greater than or equal to 9?

4. What is the probability that their sum is greater than or equal to 9 if the red d6 is greater than or equal to 4?

5. If you roll the two dice 10 different times, what is the expected value of what you get from adding up the sums of all 10 rolls?

6. If you roll the two dice 10 different times, what is the expected value for the number of times you will roll a 4 (as the sum of the two dice)?

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