Solution: (1) Note that "the numbers on the three cards taken out are different from each other" is an event.

Then,

That is, the probability that the numbers on the three cards are different from each other is.

(ii) All possible values of a random variable are 2, 3, 4, 5,

The corresponding probability is:

,

,

,

The ∴ distribution list of random variables is:

.

(iii) Take any three cards out of the box and score them according to 9 times the maximum number on the cards. Therefore, if the score exceeds 30, the value of the random variable should be 4 or 5.

So the possibility is