Question: Box A contains six red balls and five blue balls. Box B contains five red balls and six blue balls. A fair coin is tossed,

Box A contains six red balls and five blue balls. Box B contains five red balls and six blue balls. A fair coin is tossed, and if a head is obtained, three balls are taken random from box A and placed in jar. If a tail is obtained, three balls are taken at random from box B placed in jar. If the jar contains two red balls and one blue ball after the toss, what is the probability that a he had been obtained?

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