Final answer:
The probability of tossing three six-sided dice and getting the same number on all of them is 1/36, since there are 6 favorable outcomes out of 216 possible outcomes.
Step-by-step explanation:
The question is asking for the probability that the same number will appear on the face-up side of each of three standard six-sided dice when tossed simultaneously. Since each die is independent of the others, you first determine the number of possible outcomes for one die, which is 6 (since a die has 6 faces). When you throw three dice, you would multiply the number of outcomes for each to get the total number of possible outcomes for the three dice, which is 6 x 6 x 6 = 216. Now considering that there are 6 ways to get the same number on all three dice (all ones, all twos, etc.), the probability of this happening is 6 out of 216. Therefore, the correct probability is 6/216 which simplifies to 1/36, making option (A) the right choice.