To begin, open "Simulating the probability of rolling a 6"

https://media.pearsoncmg.com/cmg/pmmg_mml_shared/animations/statistics/west_applets_HTML5/probsim1.html

a) You will simulate rolling a die 60 times. Click the "Outcomes" option so that an empty Frequency chart is displayed. Now, roll the die 60 times. To do this, you will patiently click the "5 rolls" button 12 times (or the "1 roll" button 60 times).

What is the expected number of 6's out of 60 total rolls? Does this mean that this is the number of 6's that will always be rolled? Please explain.

b) How many 6's were rolled out of the 60 total rolls?

Did the outcome of your simulation match the expected number of 6's for the experiment?

If you were to repeat the experiment and roll the die 60 times again, do you think that you would get the same outcome? Explain.

c) Although it is possible that all 60 rolls will land as a 6, it is unlikely. What do you think is the greatest number of 6's (out of 60) that you would actually ever roll? Explain why you chose this number (write an explanation of what drives your intuition).