(Answered) A box contains 8 white chips and 2 red chips a bag contains

Statistics

A box contains 8 white chips and 2 red chips. A bag contains 3 white chips and 3 red chips. One chip is pulled out of the box and dropped into the bag. Then the bag is mixed and one chip is drawn from the 7 that are now in the bag.

(a) What is the probability of drawing a red chip from the bag?

(b) Given that the chip that is drawn from the bag at the end is red, what is the conditional probability that the chip drawn from the box was white?

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