Final answer:
The number of sample points in the sample space for tossing a pair of balanced, six-sided dice is 36.
Step-by-step explanation:
When tossing a pair of balanced, six-sided dice, each die has 6 possible outcomes. Since the outcome of one die is independent of the outcome of the other, we can calculate the number of sample points in the sample space S by multiplying the number of outcomes of one die by the number of outcomes of the other die.
Therefore, the number of sample points in the sample space S for tossing two six-sided dice is 6 (for the first die) × 6 (for the second die) = 36 sample points.