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Answer:
[tex] \frac{1}{2} ( \frac{5}{6} ) + \frac{1}{3} ( \frac{1}{2} ) = \frac{5}{12} + \frac{1}{6} = [/tex]
[tex] \frac{5}{12} + \frac{2}{12} = \frac{7}{12} [/tex]