Question is on attached photograph.
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Since in Jimmy's 90 times die roll six appeared 11 times, so the probability of face of sixes appearing is: .
Thus , when the die is rolled 1500 times then it is obvious that the number of times the face of six will appear will also increase proportionately.
This proportionate increase in the number of times the face of six will appear will be given thus:
If six appears 11 times in 90 rolls then to find how many times it will appear in 1500 rolls is calculated as where x is the number of times the face of six will appear.
Thus, expression gives:
Therefore, Jimmy can six's approximately 183 times if he rolled the die 1500 times.