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) that both balls drawn are red. (ii) that the second drawn ball is blue. (iii) that the first drawn ball was blue, if the second drawn ball is red.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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)
that both balls drawn are red.
(ii)
that the second drawn ball is blue.
(iii)
that the first drawn ball was blue, if the second drawn ball is red.
Transcribed Image Text: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) that both balls drawn are red. (ii) that the second drawn ball is blue. (iii) that the first drawn ball was blue, if the second drawn ball is red.
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