25. In each round, an archer shoots two arrows at a target that has an outer ring, an inner ring, and a bullseye. The archer will stop shooting once she hits bullseye twice, or the inner ring twice, or the bullseye and the inner ring once each. The probabilities of hitting the inner ring and the bullseye are .5 and .1 respectively. (a) What is the probability she will never stop shooting? (b) What is the probability she will stop shooting for having hit bullseye twice?
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