AMC 12B 2022 Problem 12

Kayla rolls four fair 6 -sided dice. What is the probability that at least one of the numbers Kayla rolls is greater than 4 and at least two of the numbers she rolls are greater than 2 ?

Answer Choices
A. \dfrac{2}{3}
B. \dfrac{19}{27}
C. \dfrac{59}{81}
D. \dfrac{61}{81}
E. \dfrac{7}{9}