Question: An event W occurs with probability 0.4. If A occurs, then the probability of W is 0.6; if A does not occur but B occurs,

An event W occurs with probability 0.4. If A occurs, then the probability of W is 0.6;

if A does not occur but B occurs, the probability of W is 0.1. However, if neither A nor B occurs, the probability of W is 0.5. Finally, if A does not occur, the probability of B is 0.3. Find P(A).

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