You roll a pair of dice. what is the approximate probability that the dice shows a sum of 10 or the same number on each die?

probability that the dices show a sum of 10:
4,6    -      5,5   -      5,5     -      6,4      >> four outcomes


probability that the same number appears on each dice:
1,1
2,2
3,3
4,4
5,5
6,6
>>>>>>>> 6 outcomes

and all outcomes are 36 results

so our probability will be: (4+6) / 36 = 10 / 36 = 5/18 =0.2778 = 27.78%

hope that helps

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