If you toss a coin 10 times and it lands heads up every time, what are the chances it will land heads up if you toss it again?

I am a seven-letter word but if you remove four of my letters I will have one left. What word am I?

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

PS: You may start the number from 0.

A network of 20 x 10 squares is given to you.

Can you calculate how many unique squares and rectangles can be formed combining two or more individual squares ?

2, 3, 5, 9, 17, _ What is the next number in the sequence?

I have a big mouth and I am also quite loud! I am NOT a gossip but I do get involved with everyone's dirty business.

A Doctor always sneezes before the rain. Doctor sneezes, Will it rain?

There was a minor accident with a doctor's son but the doctor noticed no major injury. After the treatment, the father of that doctors son is sitting with the son of the doctor without the doctor being in the room.

How can this be possible?

It comprises roots which nobody sees,
Much taller than those trees,
Up and up it goes,
Still it never grows?

You see a mathematical expression in the picture. Can you think of a movie that this expression refers to?