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    Box A contains 5 red paper clips and 1 white paper clip. Box B contains 7 red paper clips and 2 white paper clips. One paper clip is taken at random from box A and transferred to box B. One paper clip is then taken at random from box B.
    (i) Find the probabilityof taking both a white paper clip from box A and a red paper clip from box B.
    (ii) Find the probability that the paper clip taken from box B is red.
    (iii) Find the probability that the paper clip taken from box A was red, given that the paper clip taken from box B is red.
    (iv) The random variable X denotes the number of times that a red paper clip is taken. Draw up a table to show the probability distribution of X.
    Please help me out on solving as my exams are near.
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    For a, the prob of a white is 1/6. This changes the numbers in box B, but you can work out prob of red.
    If you quickly work out the probs of (w, w), (w, r), (r, w) and (r,r) the rest should be easy to complete.
 
 
 
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Updated: October 10, 2017

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