exam Maths Puzzle Numerical Ability

provide me the solution please
If two dices are rolled,find the probability that

1). two faces shows same number.
2). the sum of the two faces are greater than 1.
3). sum is atleast 9.
4). sum is odd.
5). sum is almost 3.

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exam Other Question

If you add 100 to the number you get a perfect square.
If you add 168 to that number you get another perfect square.
What is that number?
I want to ask following question:
1.Given n^3<10^n for a fixed positve integer n>=1, prove that (n+1)^3<10^n+1.
I hpe you will answer my question soon.
Thank you