Two dices are thrown simultaneously and two cases are observed.
Case-I: The probability that the sum of numbers appearing on the top faces of the dice is perfect square.
Case-II: The probability that the magnitude of difference of numbers appearing on the top faces of the dice is perfect square.
Find the ratio of case-I : case-II.
1
\(\frac{4}{7}\)
2
\(\frac{7}{20}\)
3
\(\frac{5}{4}\)
4
\(\frac{4}{5}\)