I throw two dice simultaneously.

What is the probability of getting a sum as 9 of the two numbers shown?

You are in a room that has three switches and a closed door. The switches control three light bulbs on the other side of the door. Once you open the door, you may never touch the switches again. How can you definitively tell which switch is connected to each of the light bulbs?

Here is what you have to do. You have to throw a ball as hard as you can but it must return back to you even if it does not bounce at anything. Also, you have nothing attached to the ball. There is no one on the other end to catch that ball and throw it back at you.

How will you do it?

An artist while painting a scenic beauty, decides to paint three layers of blue colour on the sky.

Which layer will go on the first?

The following alphametic has only one solution. Can you find it?
ENLIST + SILENT + LISTEN = ANAGRAM

PS: You may start the number from 0.

No one wants to have it, but if one got it, he does not want to lose it. What is It?

I have a hole in my back and legs I lack.
I live where I can’t breathe and I eat without teeth.
What am I?

Find out the missing number in the picture attached:

Doctor Alex and a bus driver John are both in love with the same woman named Olivia. The bus driver need to go for a long trip of 10 days, Before he left he gave Olivia 10 apples.

I am taken from a mine and shut up in a wooden case, from which I am never released, and yet I am used by almost every person. What am I?