So getting higher than 4 on 5 or 6 throws? Yes, the probability of getting 5 or 6 on one through is 2/6= 1/3 so the probability of throwing 5 or 6 6 consecutive times is . The probabilty of get 5 or 6 exactly 5 times is . The probabilty of either of those happening is the sum, .

Notice the "6" in that? That is because there are 6 different orders: YYYYYN, YYYYNY, YYYNYY, YYNYYY, YNYYYY, and NYYYY where "Y" means a 5 or 6 and "N" means not a 5 or 6.

(And, by the way, the word "dices" is a verb meaning "cuts something into small cubes". The word you want is "dice" which is itself thepluralof the word "die".)