Problem 1141

Is the following an example of empirical probability?

The probability of getting a 6 on 4 consecutive rolls of a die.

 

Solution:-

 

Probabilities are empirical when it is not possible to establish exact probabilities for the events in question. Instead, useful approximations are often found by drawing on past experience.

Let E represent the event getting a 6 on 4 consecutive rolls of a die. Since the probability for all the outcomes for rolling a fair die are known, it is possible to calculate an exact probability for this event.

Therefore, the probability of getting a 6 on 4 consecutive rolls of a die is not an example of an empirical probability.

 

 

 

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