On a fair 6sided die each number has an equal probability of

On a fair 6-sided die ,each number has an equal probability of being rolled. When a fair die is rolled n times, the most likely outcome (the mean) is that each number will be rolled np times with a standard deviataion of o=sqrt np(1-p). Brandon rolls a die 200 times. He will conclude that the die is loaded (unfair)if the number of times any number is rolled is outside 1.5 standard deviations of the mean. Wat are the minimum and maximum number of times a number can be rolled without Brandon concluding that the die is loaded?

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