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Probability of dice sum just greater than 100
A die is rolled several times and the number appearing is summed. We stop when this sum becomes greater than or equal to 100. What value of sum in the end is the most probable (out of 100, 101, 102, 103, 104, 105)?
105 can be generated in only 1 way : 99 + 6
104 can be generated in only 2 ways: 99 + 5, 98 + 6
and so on.
Assuming that the dice rolling will reach either of numbers in range [94,99] is equally likely, 100 is the most likely. Am I correct?