Question: 1. Describe the difference between theoretical and experimental probability. Which do you think is more reliable and why? Explain. 2. Determine the theoretical probability of

1. Describe the difference between theoretical and experimental probability. Which do you think is more reliable and why? Explain.

2. Determine the theoretical probability of rolling a two with one standard die.Calculate this probability in three equivalent forms: as a fraction, a decimal (rounded to three places) and a percentage (rounded to one decimal place).

3. You rolled one die, 33 times, and the results were as follows:

Number of times you rolled a one: 7

Number of times you rolled a two: 5

Number of times you rolled a three: 3

Number of times you rolled a four: 5

Number of times you rolled a five: 6

Number of times you rolled a six: 7

Determine the experimental probability of rolling a two on the die. Calculate this probability in three equivalent forms: as a fraction, a decimal (rounded to three places) and a percentage (rounded to one decimal place). Show all work.

4. Was your experimental probability equal to the theoretical probability of rolling a two? If not, do you think the two calculations would be closer if you doubled the number of times you rolled your die? Explain.

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