Théré áré 3 coloured bags p (pink), y (yellow), and (orange). Bag p has 8 bananas, 7 mangos, and 3 papayas, bag y has 6 bananas, 4 mangos, and 7 papayas, and bag o has 7 bananas, 2 mangos, and papayas. Suppose a bag is randomly chosen with probabilities P(p)%3D0.3, P(y)=D0.4, P(o)=0.3, and remo or selecting one fruit in the bag has the equal probability. What is the probability of selecting a papaya? If the selected fruit is actually a mango, is the probability that it is from the p (pink) bag? ( Use Bayes Theorem to calculate the probability)

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