Probability of Number 4 Appearing in 100 Tosses? - ASK

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The expected frequency of rolling a 4 when tossing a die 100 times is calculated using the probability of 1/6. This results in an expected frequency of 16.67, which can be expressed as 16 2/3. There is no requirement to round this value to an integer, as expected value represents a long-term average rather than a specific attainable outcome. The discussion emphasizes that expected values can be fractional and do not need to conform to whole numbers.

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A die is tossed 100 times. What's the expected frequency that the number appears will be 4?

The probability is 1/6, so the expected frequency is 1/6 × 100, but that results in a fraction (16 2/3). Do we need to round it up or down? Is the answer 16 or 17?
 
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Monoxdifly said:
A die is tossed 100 times. What's the expected frequency that the number appears will be 4?

The probability is 1/6, so the expected frequency is 1/6 × 100, but that results in a fraction (16 2/3). Do we need to round it up or down? Is the answer 16 or 17?

Why does it have to be 16 or 17? Just call it $$16\dfrac{2}{3}$$. There is no rule which says that expected value must be an attainable value (unless it is expressly stated at the start of the problem). Expected value is essentially the long term average. The analogy would be a math class where you get 85 on the first test and 86 on the second. Your average is 85.5 (which is usually a non-attainable score).
 
Okay then, thanks.
 

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