Tom has a bowl that contains four white balls and three red balls. He selects balls successively from the bowl (at random and without replacement) and puts them one next to the other.

The following day, Tom has the same bowl with four white balls and three red ones, but he thinks the previous game was boring, so he tries a variation which he finds funnier.When he selects a ball from the bowl, if it is white he returns it into the bowl along with two more white balls. If the ball selected is red, he returns it into the bowl and puts three more red balls in it.

For which of the two variations of Tom’s game above there is a higher probability that the first three balls selected are all red?