Answer:
Step-by-step explanation:
The total number of outcomes the two fair number cubes are thrown is 36. This can be seen by counting the outcomes shown on the table.
a) for a sum of 4, there are only 3 possible outcomes. They are 3,2 2,2 and 1,3
Therefore, the probability of getting a sum of 4 will be
3/36 = 1/12
b) for a sum of 5, there are only 4 possible outcomes. They are 4,1 3,2 2,3 and 1,4
Therefore, the probability of getting a sum of 4 will be
4/36 = 1/9
c)for a sum of 6, there are only 5 possible outcomes. They are 5,1 4,2 3,3 2,4 and 1,5
Therefore, the probability of getting a sum of 6 will be
5/36 = 5/36
The probability that the sum of the results of the throw is 4,5 or 6 would be
1/12 + 1/9 + 5/36 = (3 + 4 + 5)/36 = 12/36 = 1/3
increases, [y] is expected to increase.