Run MULTIPLICATION for samples sizes 100, 500, and 1,000. Record the results below.
a. What is the theoretical probability that the fi rst die will be odd?________________
b. What is the theoretical probability that the second die will be odd?______________
c. What is the theoretical probability that both dice are odd?_________________
d. What law of probability are you using to fi nd the probability that both are odd? __________________________________________________________
e. What effect does sample size have on the sample approximations?
f. Compute the error in this approximation by: ERROR = BOTH ODD − (F1 × F2)
Do all of the differences have the same sign? YES ________ NO __________
g. Does sample size have an effect on the amount of error? YES ________ NO___________
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