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.