(Answered) Bag i contains 3 white objects and 4 black objects and bag

Statistics

Bag I contains 3 white objects and 4 black objects, and Bag II contains 2 white and 6 black objects.

a) You pick an object randomly from Bag I and place it into Bag II. Next you pick an object randomly from Bag II. What is the probability that the object is black?

b) This time, you pick a Bag at random, each of the two Bags being picked with probability ½ , and you pick an object at random from the chosen Bag. Given the ball is black, what is the probability you picked Bag I?

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