No-ball

The delivery of a no-ball results in one run -- two under some regulations -- to be added to the batting team's score, and an additional ball must be bowled. In addition, the number of ways in which the batsman can be given out is reduced to three. In shorter competition cricket, a batsman receives a 'free hit' on the ball after any kind of no-ball (see below). This means the batsman can freely hit one ball with no danger of being out in most ways.

Question: can a batsman be out on a no ball
Answer: yes