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In the circle shown above, O is the cent...


In the circle shown above, O is the center and `bar(AB)` is a diameter . There are two semicircles with diameters `bar(AO)` and `bar(BO)` , and four smaller semicircles with congruent diameters `bar(AC), bar(CO),bar(OD)` and `bar(DB)` . A point is picked at random in the large circle . What is the probability that it lands in a shaded region ?

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