Question 466220
This experiment follows binomial distribution with n = 30, p = 2/6 = 1/3, and q = 4/6 = 2/3.  Hence the the probability, or the fraction of these sequences that have exactly 9 numbers less than or equal to 2 is 

{{{P(X = 9) = 30C9*(2/3)^21*(1/3)^9 = 0.14573}}}, to 3 decimal places.