Well, "of" means division, which means the problem actually 4/9 / 3/4! With dividing fractions, I have an abbreviation, K.C.F. K.C.F. stands for, Keep it, Change it, Flip it. That basically means you keep 4/9, change / to *, than flip -3/4 to -4/3. You should end up with 4/9 * -4/3. Next, you should multiply these numbers, multiply the numerators together, and the denominators together. After multiplying, you should end with -16/27. There you go, -16/27 is the answer in that way. Also, "of" could mean percentage, if so, than it would be -1/3, since 4/9 of -3/4 is 0.333333...., and 0.333333.... is equal to -1/3.
Outcomes that meet your requirement are (1, 6), (2, 6), (6, 1), (6, 2) for a total of 4 favorable outcomes. There are 11 outcomes in which one die shows a 6, so your probability is ... B. 4/11