1414. The die is thrown 120 times. Find the probability

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1414. The die is thrown 120 times. Find the probability that:
a) the "five" will fall 20 times;
b) the "five" will drop from 10 to 30 times.
Find approximate the boundaries in which the number of occurrences of the "five" will be enclosed with a probability of 0.9973.

Additional information

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)

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