Questions:

  1. Calculate by hand the probability of getting a pair of 6's. Then use the interactive application to simulate this probability. Keep track of the number of times that a pair of 6's comes up in 36 rolls. Is this close to the calculated value?

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  2. Now click on the button next to "at least one" and enter a 2. Roll the dice 36 times and count the number of times that at least one "2" comes up. Compare this with the calculated probability. Say you wanted to find the probability of getting at least a 5. Would it be the same? Explain your answer.

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  3. Let’s try finding the probability of getting a sum of 5. First, calculate, and then simulate, with 36 rolls of the dice. Is the probability the same for getting a sum of 7 as it is for getting a sum of 5? Explain your answer.

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  4. Now try finding the probability of rolling a sum greater than 4. Remember to roll the dice 36 times. What is the calculated value?

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  5. The last option in the application lets us simulate getting a sum of less than a value. What is the probability of getting a sum of less than 9?

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  6. Why did you need to roll the dice 36 times in each of the above problems?

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