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In a circular target with a radius of 5 cm, two intertwined circles with radiuses of 1 and 3 cm are drawn. If a person

In a circular target with a radius of 5 cm, two intertwined circles with radiuses of 1 and 3 cm are drawn. If a person hits the target in the smallest circle, the area in the middle circle and the area in the outerest circle, they will get 10.5 and 3 points, respectively. Assuming that this person has a 1/3 chance of hitting the target, find the expected value of the points points they receive on each shot.

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