Two ordinary fair dice, one red and the other blue, are thrown. Event $$\(A\)$$ is 'the score on the red die is divisible by 3 '. Event $$\(B\)$$ is 'the sum of the two scores is at least 9 '. Find $$\(\mathrm{P}(A \cap B)\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Answer:

\(\mathrm{P}(\mathrm{A} \cap \mathrm{B})=\frac{5}{36}\)

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Solution: