Are probabilities predictive and statistics a posteriori ?

In summary, probabilities in statistics represent the likelihood or chance of an event occurring based on the available data and information. They are used in prediction by calculating the likelihood of a particular outcome or event happening based on past observations and data. A priori probabilities are based on logical reasoning and prior knowledge, while a posteriori probabilities are based on empirical evidence and observations. However, probabilities cannot accurately predict the future with certainty as they are subject to change and uncertainty. Probabilities and statistics are closely related, as probabilities are used in statistics to make predictions and analyze data, and statistics also helps to calculate probabilities and assess the validity of predictions.
  • #1
jk22
729
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could we say like the title that if we throw coins n times the result were s=nhead/n this were statistics and we could find a prediction for the next toss p(s)=?

I thought we could reason like : the next tosses shall equilibrate towards 1/2 so for example p(s)=1-s ?
 
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  • #2
You can say that. But the probabilities don't have to be predictive. Even after a coin toss has been done, if you don't see the result, you use a 50/50 odds for guessing the result. That is not predictive, since the toss has already happened.
 
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FAQ: Are probabilities predictive and statistics a posteriori ?

1. What do probabilities in statistics represent?

In statistics, probabilities represent the likelihood or chance of an event occurring based on the available data and information.

2. How are probabilities used in prediction?

Probabilities are used in prediction by calculating the likelihood of a particular outcome or event happening based on past observations and data. This can help to make informed decisions and predictions about future events.

3. What is the difference between a priori and a posteriori probabilities?

A priori probabilities are based on logical reasoning and prior knowledge, while a posteriori probabilities are based on empirical evidence and observations.

4. Can probabilities accurately predict the future?

While probabilities can provide insight and help make informed decisions, they cannot accurately predict the future with certainty. They are subject to change and uncertainty, and there are always external factors that can influence outcomes.

5. How are probabilities and statistics related?

Probabilities and statistics are closely related as probabilities are used in statistics to make predictions and analyze data. Statistics also helps to calculate probabilities and assess the validity of predictions.

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