To solve this problem, let us recall that the formula for probability is:
Probability = total number of successful events / total events
Where in this case, an event is considered to be successful if the sum is 3 on the pair of six sided dice.
First, let us calculate for the total number of events. There are 6 numbers per dice, therefore the total number of combinations is:
total events = 6 * 6 = 36
Next, we calculate for the total number of combinations that result in a sum of 3. We can identify that there are only two cases that result in sum of 3. That is:
1st case: first dice rolls 1, second dice rolls 2
2nd case: first dice rolls 2, second dice rolls 1
Hence, total number of successful events = 2. Therefore the probability is:
Probability = 2 / 36 = 1 / 18 = 0.0556 = 5.56%
