Four children (Andi, Dani, Inda and Nida) play a game called Beanbag Bustle by throwing a beanbag to each other according to the following rules:

Dani never throws it to Andi or Inda; Andi never throws the beanbag to Inda or Nida; Nida never throws to Dani; Inda never throws it to Dani; finally, no child ever throws the beanbag and catches it themselves.

When the game starts, Andi has the beanbag. Assuming that for each throw, the bag is equally likely to be thrown to the other children who are eligible within the rules, who is most likely to end up with the beanbag after 3 throws?  4 throws? Or 5 throws?