p= probability of rolling a number less than 3 = 2/6 =1/3
(namely rolling a 1 or 2 out of the 6 numbers)

Therefore

1-p= probability of not rolling a number less than 3 = 1-(1/3)= 2/3

Using Binomial Distribution

Case 1: Rolling a number less than 3 three times

(5 choose 3)*(p)^3*(1-p)^5-3= 5!/(2!3!) * (1/3)^3 * (2/3)^2 = 10(4/243) = 40/243

Case 2: Rolling a number less than 3 four times

(5 choose 4)*p^4 *(1-p)^5-4= 5!/(1!4!) * (1/3)^4 * (2/3)^1 = 5(2/243) = 10/243

Case 3: Rolling a number less than 3 five times

(5 choose 5)* p^5*(1-p)^0 = 5!/(0!5!)* (1/3)^5 * (2/3)^0 = 1*(1/243)(1)= 1/243

We add the probabilities of all the cases to get

40/243+ 10/243+ 1/243 = 51/243 = 17/81

Final Answer: B