Can you calculate the probability of getting a sum of six when a dice is thrown twice?

When is the top of a mountain similar to a savings account?

If I put in one canary per cage, I have one bird too many. If I put in two canaries per cage, I have one cage too many. How many cages and canaries do I have?

I want to fill my bucket using both cold and hot water.
I have two taps for both cold and hot water. The hot water tap fills the bucket in exact 6 hours and the cold water tap fills the bucket in exact 4 hours.
I turn both of them simultaneously but I forgot to turn off another tap which removes the water out of the bucket. This tap can empty the bucket in 12 hours.

How Long will it take to fill the bucket?

What building has the most stories?

Can you find a seven digit number which describes itself. The first digit is the number of zeros in the number. The second digit is the number of ones in the number, etc. For example, in the number 21200, there are 2 zeros, 1 one, 2 twos, 0 threes and 0 fours.

There is something which is always coming but never arrives?

When you say goodbye, I am what you need to tie.
I come as a couple and go wherever you run.
Who am I?

What does below rebus means ?

If 21x = 79x, what is the value of x?