QUESTION B1 An urn contains 3 red balls and 2 blue balls. A ball is drawn. If the ball is red, it is kept out of the urn and a second ball is drawn from the urn. If the ball is blue, then it is put back in the urn and a red ball is added to the urn. Then a second ball is drawn from the urn. Find the probability (i) (a) that both balls drawn are red. (ii) that the first drawn ball was blue, if the second drawn ball is red.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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QUESTION B1
An urn contains 3 red balls and 2 blue balls. A ball is drawn. If the ball is red, it is
kept out of the urn and a second ball is drawn from the urn. If the ball is blue, then
it is put back in the urn and a red ball is added to the urn. Then a second ball is
drawn from the urn. Find the probability
(i)
(a)
that both balls drawn are red.
(ii)
that the first drawn ball was blue, if the second drawn ball is red.
Transcribed Image Text:QUESTION B1 An urn contains 3 red balls and 2 blue balls. A ball is drawn. If the ball is red, it is kept out of the urn and a second ball is drawn from the urn. If the ball is blue, then it is put back in the urn and a red ball is added to the urn. Then a second ball is drawn from the urn. Find the probability (i) (a) that both balls drawn are red. (ii) that the first drawn ball was blue, if the second drawn ball is red.
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