What is the probability that it is spoiled


Problem: Use Bayes' theorem or rule to solve this bonus question.

Supposed that Tuna comes in cans of two colors: green cans and purple cans. A study has revealed that 5 percent of all the tuna is spoiled when it is sold. Further research shows that 35 percent of the spoiled tuna comes in purple cans and 60 percent of the good tuna comes in purple cans. If you purchase a particular can of purple tuna, what is the probability that it is spoiled?

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