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

When I asked a girl's name she told me her name is the date '07/09/2001'.

I thought for a few seconds and then I got her name. Do you?

The Little ant seems to be always confused. Do you know why?

In which direction should the missing arrow point?

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?

I have a clock(12-hour format) and both the needles of the clock overlap at 12:00.
After how much time, they will overlap again?

Solve below rebus puzzle?

The teacher told the student that if he told a lie then he will be expelled from school and if he told the truth then he still is expelled from school.

What can a student say to prevent his being expelled from school?

Buy me, smell me or deliver me, I do not change.

Who am I?

Why is the Hole below a Lock?