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A person has a 0.125 probability of getting the number 3 on a roll of an eight-sided die. If a person rolls the die 24 times, and gets a 3 on one-half of the rolls, what is the difference between the theoretical probability and the empirical probability of the person getting the number 3 on a roll? A. 0.125 B. 0.375 C. 0.5 D. 0.25

Respuesta :

Answer:

0.375

Step-by-step explanation:

plato

The difference between the theoretical probability and the empirical probability is 0.375. So, option B is correct.

Probability:

Important information:

  • The probability of getting the number 3 on a roll of an eight-sided die is 0.125.
  • A person rolls the die 24 times and gets a 3 on one-half of the rolls.

According to the given information, we have:

Theoretical probability = 0.125

Empirical probability = 0.5

The difference between the theoretical probability and the empirical probability of the person getting the number 3 on a roll is:

0.5 - 0.125 = 0.375

Hence, option B is correct.

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