A die is rolled 3 times. The probability of getting a larger number than the previous number is

The first die can show any numbers from 1 of 6. Second can show numbers greater than the first and third acn show greater than the second. Number of ways = (1,2,3) (1,2,4)(1,2,5)(1,2,6) (1,3,6) (1,4,6) (1,3,5) (1,4,5) (1,4,6)(1,5,6), (2,3,6) (2,3,5)(2,3,4) (2,4,5) (2,4,6) (2,5,6) (3,4,5) (3,4,6) (3,5,6) (4,5,6). Hence, probability = 20/216 = 5/54.