The probability of rolling a 6 on a number cube is 1661 . If you were to roll the cube 60 times, you would expect to get a 6 around 10 times (16⋅60=10)( 61 ⋅60=10).You simulate 60 rolls. How many 6s would make you question your model?A.6B.14C.20D.10SUBMITarrow_backPREVIOUS
Question
The probability of rolling a 6 on a number cube is 1661 . If you were to roll the cube 60 times, you would expect to get a 6 around 10 times (16⋅60=10)( 61 ⋅60=10).You simulate 60 rolls. How many 6s would make you question your model?A.6B.14C.20D.10SUBMITarrow_backPREVIOUS
Solution
The question is asking how many times you would need to roll a 6 in your simulation of 60 rolls to start questioning the accuracy of your model.
The model predicts that you should roll a 6 around 10 times. If you roll a 6 significantly more or less than 10 times, you might start to question your model.
Option A (6 times) and option B (14 times) could potentially make you question your model, as they are significantly less and more than the expected 10 times, respectively.
Option C (20 times) is twice the expected amount, which would definitely make you question your model.
Option D (10 times) is exactly what the model predicts, so this would not make you question your model.
Therefore, the answer could be A, B, or C, depending on how much deviation from the expected result you would tolerate before questioning your model.
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