When rolling a pair of dice, the roll should come up 11 once every 18 rolls, or 5.6% of the time. You decide to test this out, rolling 40 times a day every weekday, and using the weekend to analyze the data. As the table shows, with the exception of Friday, every day you rolled either double the expected number of 11s, half the expected number of 11s or no 11s at all. Yet the average for all the days is 5.5%, virtually identical with the theoretical number. How do you explain this? A) The errors in the four bad trials cancelled each other out. B) Rolling dice is all luck; probability is simply not involved. C) Experimental probability approaches theoretical probability when the number of trials is large. D) Your knowledge of the expected probability influenced the eventual outcome of the experiment, changing the number of 11s you rolled on the last two days.

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When rolling a pair of dice, the roll should come up 11 once every 18 rolls, or 5.6% of the time. You decide to test this out, rolling 40 times a day every weekday, and using the weekend to analyze the data. As the table shows, with the exception of Friday, every day you rolled either double the expected number of 11s, half the expected number of 11s or no 11s at all. Yet the average for all the days is 5.5%, virtually identical with the theoretical number. How do you explain this? A) The errors in the four bad trials cancelled each other out. B) Rolling dice is all luck; probability is simply not involved. C) Experimental probability approaches theoretical probability when the number of trials is large. D) Your knowledge of the expected probability influenced the eventual outcome of the experiment, changing the number of 11s you rolled on the last two days.

Answer 1

<div class = 'in102'>Answer:These dice are separate events and therefore do not involve any probability of conditions.Each event has the same probability, no matter what happens before.Unless there is a constant every time, such as a robot throwing a dice in a specific way, a person throwing a dice has too many variables to even give probability.

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