Bag A contains 8 red, 4 green and 3 white marbles and Bag B contains 7 red, 5 green and 3 white. Bag C contains 6 red, 4 green and 5 white. a) If three marbles are drawn from Bag A at random without replacement, find the probability that (i) marbles drawn are of different colors. (ii) none of the marbles is green. (iii) at least one of the marble is green. b) If one of the three bags is selected at random and a marble is drawn at random, find the probability that the marble is drawn from Bag B given that the selected marble is green.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 29CT
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Bag A contains 8 red, 4 green and 3 white marbles and Bag B
contains 7 red, 5 green and 3 white. Bag C contains 6 red, 4 green
and 5 white.
a) If three marbles are drawn from Bag A at random without
replacement, find the probability that
(i) marbles drawn are of different colors.
(ii) none of the marbles is green.
(iii) at least one of the marble is green.
b) If one of the three bags is selected at random and a marble is
drawn at random, find the probability that the marble is drawn
from Bag B given that the selected marble is green.
Transcribed Image Text:Bag A contains 8 red, 4 green and 3 white marbles and Bag B contains 7 red, 5 green and 3 white. Bag C contains 6 red, 4 green and 5 white. a) If three marbles are drawn from Bag A at random without replacement, find the probability that (i) marbles drawn are of different colors. (ii) none of the marbles is green. (iii) at least one of the marble is green. b) If one of the three bags is selected at random and a marble is drawn at random, find the probability that the marble is drawn from Bag B given that the selected marble is green.
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