The sample space for a roll of two number cubes of sugar in the table.
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)
A. 5/6
B. 13/18
C. 5/18
D. 1/3
There are 36 possible outcomes, as there are 6 options for each roll of the number cube. To find the probability of rolling a number greater than 3 on the first cube and an even number on the second cube, we can count the number of outcomes that fit these criteria.
The options for rolling a number greater than 3 on the first cube are (4,1) (4,2) (4,3) (4,4) (4,5) (4,6), (5,1) (5,2) (5,3) (5,4) (5,5) (5,6), and (6,1) (6,2) (6,3) (6,4) (6,5) (6,6), which is a total of 18 outcomes.
Of these 18 outcomes, the options for rolling an even number on the second cube are (4,2) (4,4) (4,6), (5,2) (5,4) (5,6), and (6,2) (6,4) (6,6), which is a total of 9 outcomes that satisfy both criteria.
Therefore, the probability of rolling a number greater than 3 on the first cube and an even number on the second cube is 9/36 or 1/4.
None of the given answer choices match this probability, so the correct answer is not provided.