If you roll a die 38 times and 12 of the rolls result in a "5," what empirical probability was observed for the event "5"?
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The empirical probability, which is "what you measured by experiment" is 12/38 = 6/19, with 38 tosses.
If you had rolled the die thousands of times, you should have approached a probability of 1/6, if the die was not "loaded".
It is not unusual to get different empirical values tfrom the true probability, when there are relatively few samples.
To calculate the empirical probability observed for the event "5," you need to divide the number of favorable outcomes (in this case, the number of times the die rolled a "5") by the total number of outcomes (the number of times the die was rolled).
In this scenario, the die was rolled 38 times, and 12 of those rolls resulted in a "5." Therefore, the empirical probability observed for the event "5" can be calculated as:
Empirical probability = Number of favorable outcomes / Total number of outcomes
Empirical probability = 12 / 38
To one decimal place, the empirical probability observed for the event "5" is approximately 0.3, or 30%.