What  is the probablity of rolling a total of 10 each time on two seperate rolls of a pair of six-sided dice?

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On the first roll of two die let's think about each die separately.  On one die, let's call this the first one, you can roll either a 4, 5 or 6 because each of these numbers can be paired with another number on the second die to total 10.So, the probability of one die is 3/6 or 1/2.  For the second die needed to total a 10 there is only "one" number on the second die which will do.  That probability is 1 out of 6 or 1/6.  So the probability of rolling a 10 is 1/2 times 1/6 which is 1/12 or .083333.....If you are asking about rolling a "10" two times in a row then you need to multiply 1/12 times 1/12 = 1 / 144 is the answer or .06944444...