Question

Two dice are rolled. What is the probability of rolling a three on one and a four on the other? Express the answer as a reduced fraction.
and please explain your answer.
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Answer 1

$|\Omega|=6^2=36\\A=\{(3,4),(4,3)\}\\|A|=2\\\\P(A)=\dfrac{2}{36}=\dfrac{1}{18}$