If you have access to a TI-83 or 84-Plus calculator, try the following command:
binompdf(10, 0.25, 4). The output I get is 0.1460. Thus, the probability of getting a "4" is 0.1460.
If you do not have such a calculator, you may be able to find this result in a binomial probability table. Look for the table for n=10. It lists the possible outcomes {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. In the column labeled 0.25 (the binomial probability), find the probability of getting a "4."