q there are 3 coloured bags p pink y yellow and o orange bag p has 8 b
Question
Q. There are 3 coloured bags p (pink), y (yellow), and o (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 10 papayas. Suppose a bag is randomly chosen with probabilities P(p)=0.3, P(y)=0.4, P(o)=0.3, and removing 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, what is the probability that it is from the p(pink) bag? (Hint: Use Bayes Theorem to calculate the probability)show all the steps and explain briefly please