there are 2 square numbers on one die (1 and 4) so the chances of getting a square number by rolling it is 1/3.
to work out how likely it is that she should roll a square number on two die we have to multiply the chances the chances that she WON'T roll a square number which is 2/3 for one die and 2/3*2/3 for two die. 2/3*2/3 = 0.4444444444... or rounded off 0.4445. now to find out the chances she WILL roll a square number is 1-0.4445 which is 0.5555555555... or 0.5556 which is 55.56%. so the chances of her rolling a square is 55.56%.
with the six cards there are two square numbers (again 1 and 4). if you make a tree diagram then you will find the chances she gets a square is 3/5 or 60%.
on each dice there are 2 square numbers (1 and 4). so for each dice there is 1 in three chance that there will be a square number if rolled, or a two in three chance it will not be rolled. rolling two dice at once is the same as rolling one dice twice so the probability the probabilty that she DOESN'T roll a square number is:
which is, rounded off, 0.4445 or 44.45%
now the chances that she DOES roll a square number is 1 - 0.4445 which is 0.5556 or 55.56%
so the chances that she does roll a square number is 55.56% , which means that her rolling a square number is slightly more likely than not!