Final answer:
The probability that the sum of two rolled fair 6-sided dice is at least 3 is 35/36 since there are 35 outcomes where the sum is 3 or greater out of 36 possible outcomes.
Step-by-step explanation:
The question asks about the probability that the sum of two rolled fair 6-sided dice is at least 3. When rolling two dice, there are 36 possible outcomes because each die has 6 faces, so the number of outcomes is 6 (from die one) times 6 (from die two), resulting in 36. However, there is only one outcome where the sum is less than 3, which is when both dice show a 1 (1+1=2). Therefore, there are 36 - 1 = 35 outcomes where the sum is at least 3, making the probability 35/36.
To confirm this, one could list all the possible sums of two dice and count the results where the sum is 3 or greater, which will lead to the same conclusion. Hence, the correct answer is c. 35/36.