Conditional Probability Given multiple independent events, Calculate P if possible

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I am having difficulty in starting this question/which formula would be best to use and how would i be able to get the events as finite intersections.

The questions is: P(A1 ∪ A2|A2 ∪ A3) = 5/6. Determine the probability, assuming A1-A5 are independent events.

So far i have: P(A1|A2)*P(A2|A2)*P(A2|A3)*P(A1|A3)=5/6

P(A1∩A2|A2)*P(A2∩A3|A3)**P(A1∩A3|A3)*P(A2∩A3|A3)=5/6

Any help would be greatly appreciated.