Question

if a standard die is rolled twice what is the probability of getting a perfect square,then a number that is less than 5.

Answer 1

There are three perfect squares in a standard die; 1, 2, 4. If there is two standard dies, then the probability of getting a perfect square is 1/3 x 1/3 = 1/9. 
There are 4 numbers less than 5 in a standard die, making it 1/4 x 1/4=1/16.