Experimental Probability vs Theoretical Probability
There are some key differences between Experimental and Theoretical Probability, some of which are as follows:
|
Aspect of Difference |
Experimental Probability |
Theoretical Probability |
|---|---|---|
| Definition | Empirical probability obtained by conducting experiments or observations |
Probability obtained by using mathematical principles and formulas |
| Basis | Observed outcomes in real-life experiments | Theoretical predictions based on assumptions and models |
| Accuracy | Can be highly variable due to small sample sizes or other factors |
More accurate and reliable, assuming the assumptions and models are correct |
| Calculation | Calculated by dividing the number of times an event occurred by the total number of trials |
Calculated by dividing the number of favorable outcomes by the total number of possible outcomes |
| Application | Used when data is collected through experimentation or observation |
Used when predicting outcomes for theoretical scenarios |
| Examples | Tossing a coin or rolling a die multiple times to determine the probability of an event |
Calculating the probability of drawing a certain card from a deck or the probability of winning a game with specific rules |
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Experimental Probability
Probability means the chances of a number of occurrences of an event. In simple language, it is the possibility that an event will occur or not. The concept of probability can be applied to some experiments like coin tossing, dice throwing, playing cards, etc. Experimental Probability is one of the interesting concepts of Probability. Before diving down into the definition, Let’s start understanding this concept through our daily life situations.
We all have heard typical monsoon forecasts like, “Kerala remains under high alert expecting heavy rains and winds as a result of cyclone Burevi” and similar other headlines, right? But have you ever thought that how these expectations sometimes turn into reality? The reason behind the chances, expectations, doubts, and forecasts is Probability. Probability in simple meaning gives us the predictions of an event that may or may not be happened based on our past experiences. And these Past experience is based upon the experiment of events.
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