An urn contains 20 red balls and 50 blue balls. Two are chosen at random, one after the other, without replacement. (Round your answers to one decimal place.) (a) Let R, be the event that the first ball chosen is red, and let R, be the event that the second ball chosen is red. As was done in Example 9.9.2, it may help to draw a tree diagram to calculate the following probabilities. the probability (as a %) that both balls are red the probability (as a %) that the first ball is red and the second is not the probability (as a %) that the first ball is not red and the second is red % the probability (as a %) that neither ball is red % (b) What is the probability (as a %) that the second ball is red? Note that (R2 N R,) U (R2 N R°;) = [??? - and (R, N R;) n (R2 N R°,) = ??? -. Thus, the answer is %. (c) What is the probability (as a %) that at least one of the balls is red?

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