A 4-sided fair die is rolled twice.What is the probability that the outcome of the first roll is greater than the outcome of the second roll?

Question

it is the probobility quistion form fundamental of apllied probility

Answer 1

16 possible outcomes of 2 rolls of the die:

11 12 13 14 21 22 23 24 31 32 33 34 41 42 43 44.

The occurrence of the 1st roll being higher than the 2nd is 6 out of 16=3/8:

21 31 32 41 42 43

3/8=0.375 is the probability of the first roll having a greater outcome than the second. This is also the probability of the second roll being higher than the first.