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An experiment consists of throwing two six-sided dice and observing the number of spots on the upper faces. Determine the probability that
a. the sum of the spots is 3.
b. each die shows four or more spots.
c. the sum of the spots is not 3.
d. neither a one nor a six appear on each die.
e. a pair of sixes appears.
f. the sum of the spots is 7.
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