I would like help with the following problem. I wrote a response. however, I want to confirm if I am correct or I am missing something. Problem: What is the theoretical probability of rolling a fair die and obtaining a 1? If you roll a fair die 6 times, how many times would you expect, theoretically, of obtaining a 1? What if you performed an experiment and rolled the die 6 times. Will you definitely obtain your theoretical answer? Why is experimental probability often different than theoretical probability? What do you think you should expect if you increase the number of trials, that is, rolls of the die? Why?
I would like help with the following problem. I wrote a response. however, I want to confirm if I am correct or I am missing something.
Problem:
What is the theoretical
This is my response to the problem:
The theoretical probability of rolling a fair die and obtaining 1 is 1/6. Even if you were to perform an experiment where you would roll a fair die 6 times, you still have a 1/6 chance of obtaining a 1. This is true because a fair die has 6 sides and is numbered 1-6. Thus, theoretically, you have a 1/6 chance of rolling a 1. Experimental probability is often different than theoretical probability because the experimental probability is based on results while theoretical probability is based on possible outcomes. If I increased the number of times I roll the dice, the chance of me rolling on a 1 will still be a 1/6 chance.
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