A single die is rolled twice find the probability of rolling and even number The First Time and a greater number Then for the second time fractions only
The possible outcomes for rolling a single die twice are: {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}.
There are a total of 36 possible outcomes. Out of these 36 outcomes, the following 9 outcomes have an even number on the first roll and a greater number on the second roll: {(2,3), (2,4), (2,5), (2,6), (4,5), (4,6), (6,1), (6,3), (6,5)}.
Therefore, the probability of rolling an even number on the first roll and a greater number on the second roll is 9/36, which simplifies to 1/4.