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Problem 405

Combinatorics Difficulty 2.0 Find the answer UKMT Intermediate Mathematical Challenge · United Kingdom · 2023

I roll two standard six-sided fair dice. At least one of the scores obtained on the dice is 3. What is the probability that both of the scores on the dice are 3?

(A) $\dfrac{1}{12}$ (B) $\dfrac{1}{11}$ (C) $\dfrac{1}{6}$ (D) $\dfrac{1}{3}$ (E) $\dfrac{1}{4}$

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