Mathematics

Mathematics

Problem

A bag is chosen at random from three bags B1,B2B_1,B_2 and B3B_3 with probabilities 0.4,0.30.4,0.3 and 0.30.3 respectively. Bag B1B_1 contains 55 red and 55 blue balls, while bag B2B_2 contains 33 red and 77 blue balls. Bag B3B_3 contains an unknown proportion of red balls. If the overall probability of drawing a red ball is 0.410.41, what is the probability of drawing a red ball from bag B3B_3? a) 0.50.5 b) 0.40.4 c) 0.60.6 d) 0.430.43

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