Problem in atleast/at most questions in Data Analysis

Question: What is the probability that, when a fair
6-sided die is rolled
6 times, a number greater than 4 occurs at most
5 times?

Pr(of getting 5) = (1/6)*6
Pr(pf getting 6)= (1/6)*6
1- 2/46656 = 0.9999571

Why isn’t this problem solved in this way as shown in the video? Please help.

What’s your approach?