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24 November, 01:30

Does anyone know Experimental Probability?

Which of the following statements is correct if you roll a fair 6-sided die 600 times?

A. You expect about 100 3's

B. You are guaranteed to get exactly 100 3's

C. You will get about 300 3's

D. You will get exactly 100 3's if the die is truly fair

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Answers (1)
  1. 24 November, 01:55
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    If you roll a fair 6-sided die you can get 1, 2, 3, 4, 5 or 6. In total there are 6 possibilities for the outcomes. The theoretical probability to roll each number of 6 possible is the same and equal to 1/6.

    If you roll a fair 6-sided die 600 times, you can expect that near 1/6 of these attempts will get you 3's. Then you expect about 600·1/6=100 3's (you can't suppose to get exactly 100 3's, because the experimental probability may differ from theoretical).

    Answer: correct choice is A.
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