How is the moon similar to a dollar?

What is both possible and impossible at the same time?

When my father was 31 I was 8. Now he is twice as old as me. How old am I?

There are two dice with empty faces in front of you and a marker. You can mark any number on each of the faces of the two dice, but you have to display all 31 days of the month using the two of them.

Which numbers will you mark on which dice so that you can easily depict all the dates of the month?

Begin with a word, five letters to my name,
Remove the first and last but I am the same
Take out my middle and still, I remain.
What word am I?

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

Do You See It?

I have no doors but I have keys, I have no rooms but I have space, you can enter but you can’t leave! What am I?

I am the fastest animal but cannot climb the tree. What am I?

It is raining today at 11:59 am. What is the probability of sunny weather after 72 hours?