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Probability = Expected number of outcomes/ Total number of outcomes.
Total number of outcomes we get in a single throw of two dice = 6 x 6 = 36.

Possible cases of getting 'nine' in a single throw of two dice:

dice 1   dice 2
three    six.......................(1)
six         three.................(2)
four      five.....................(3)
five       four...................(4)

So, total of 4 cases.
Possible cases of getting 'ten' in a single throw of two dice:

dice 1   dice 2
four    six.......................(1)
six         four.................(2)
five      five.....................(3)

So, total of 3 cases.
Expected number of outcomes = Total possible cases of getting 'nine' or 'ten' in a single throw of two dice = 4 + 3 = 7 .
So, Probability = 7/36.