Each bag in one big box contains 25 fruits in amount. Given 60% of the bags contain 5 oranges and 20 apples, while 40% another contain 15 oranges and 10 apples. After that, one bag is taken randomly and then in that bag, one fruit is taken randomly too. \ a) What is the probability to get an apple? \ b) If the chosen fruit is an apple, then what is the probability to get the bag whose contains 5 oranges and 20 apples?
My friend said that we should try Bayes' Theorem. But honestly I somehow get some trouble how to apply that theorem to solve the problems above.
Is it true that Bayes' Theorem should be applied here or are there any ways to solve the problem? Thank you for your help.