Most players can grudgingly accept how difficult it is to win the jackpot, but now they are being forced to pay twice the price or receive only half as many chances. It’s too much. Players will be asking, “I couldn't win before, what chance do I have now with half as many tickets?” They will welcome an option that gives them more chances to win.
For only $2, players will receive:
With the price doubling to $2, the chances to win will drop in half. That won't sit well with most players. But, now for only an extra $2, they will increase their chances to win 10 fold.
A $2 player who does not pool will only win once every 32 drawings. By adding just one pool, they will win every 3rd drawing (10X sooner).
These players only play when the jackpot gets higher. They will have a greater propensity to add pooling because it will further heighten their level of excitement. $2 doesn't do very much. It gives them only 1 chance to win. $4 gives them 11 chances to win.