Total marks 13. 3. There are three urns. Urn I contains 3 blue balls and 5 white balls; urn II contains 2 blue balls and 6 white balls; urn III contains 4 blue balls and 4 white balls. Rolling a dice, if 1 appears, we draw a ball from urn I; if 4 or 5 or 6 appears, we draw a ball from urn II; if 2, or 3 appears, we draw a ball from urn III. (i) What is the probability to draw a blue ball? [7 Marks] (ii) Assume that a blue ball is drawn. What is the probability that it came from Urn I? [6 Marks] Turn over. MA-252: Page 3 of 4
Total marks 13. 3. There are three urns. Urn I contains 3 blue balls and 5 white balls; urn II contains 2 blue balls and 6 white balls; urn III contains 4 blue balls and 4 white balls. Rolling a dice, if 1 appears, we draw a ball from urn I; if 4 or 5 or 6 appears, we draw a ball from urn II; if 2, or 3 appears, we draw a ball from urn III. (i) What is the probability to draw a blue ball? [7 Marks] (ii) Assume that a blue ball is drawn. What is the probability that it came from Urn I? [6 Marks] Turn over. MA-252: Page 3 of 4
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
Section8.6: Permutations And Combinations
Problem 4SC
Related questions
Question
![Total marks 13.
3. There are three urns. Urn I contains 3 blue balls and 5 white
balls; urn II contains 2 blue balls and 6 white balls; urn III contains 4
blue balls and 4 white balls. Rolling a dice, if 1 appears, we draw a ball
from urn I; if 4 or 5 or 6 appears, we draw a ball from urn II; if 2, or 3
appears, we draw a ball from urn III.
(i)
What is the probability to draw a blue ball? [7 Marks]
(ii) Assume that a blue ball is drawn. What is the probability
that it came from Urn I?
[6 Marks]
Turn over.
MA-252: Page 3 of 4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd66c7573-6777-48ff-9bfb-9b3df1a769a6%2F3f70e237-0f86-4592-826f-439e235515d5%2Frid9tzg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Total marks 13.
3. There are three urns. Urn I contains 3 blue balls and 5 white
balls; urn II contains 2 blue balls and 6 white balls; urn III contains 4
blue balls and 4 white balls. Rolling a dice, if 1 appears, we draw a ball
from urn I; if 4 or 5 or 6 appears, we draw a ball from urn II; if 2, or 3
appears, we draw a ball from urn III.
(i)
What is the probability to draw a blue ball? [7 Marks]
(ii) Assume that a blue ball is drawn. What is the probability
that it came from Urn I?
[6 Marks]
Turn over.
MA-252: Page 3 of 4
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