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2022 AMC 12B Question 12

AMC12 · 2022 AMC 12B

Question 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 $2?$
  1. $\dfrac{2}{3}$
  2. $\dfrac{19}{27}$
  3. $\dfrac{59}{81}$
  4. $\dfrac{61}{81}$
  5. $\dfrac{7}{9}$