36. If the second ball is red, what is the probability that the first ball was red?
36. If the second ball is red, what is the probability that the first ball was red?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please help with problem #36 and #8. Thank you so much
Transcribed Image Text:Ov
7
to be chosen as the other. Then a ball is withdrawn from
the chosen urn. Urn 1 contains 1 white and 4 red balls, and urn 2
has 3 white and 2 red balls.
31. If a white ball is drawn, what is the probability that it came
from urn 1?
32. If a white ball is drawn, what is the probability that it came
from urn 2?
33. If a red ball is drawn, what is the probability that it came
from urn 2?
34. If a red ball is drawn, what is the probability that it came
from urn 1?
In Problems 35 and 36, an urn contains 4 red and 5 white balls.
Two balls are drawn in succession without replacement.
35. If the second ball is white, what is the probability that the
first ball was white?
36. If the second ball is red, what is the probability that the first
ball was red?
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Transcribed Image Text:-21
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454
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12. P(NB)
Start
=
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4
M
4.
N
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6.
2/7
A Find the probabilities in Problems 7-12 by referring to the tree
diagram below.
7. P(MOA)
P(M)P(A|M)
8. P(NOB)
P(N)P(B|N)
9. P(A) = P(MOA) + P(NA)
10. P(B) =
= P(MNB) + P(NB)
11. P(MIA)
T
+-+
4
P(NOB)
P(NOB) + P(MOB)
12
12
41
-+-..
53 54
P(MMA)
P(MOA) + P(NMA)
-in
53
.7
.3
2/3
.8
A
B
2/7
A
B
Find the probabilities in Problems 13-16 by referring to the fol-
lowing Venn diagram and using Bayes' formula (assume that the
simple events in S are equally likely):
15. P(U₁R'
B Find the proba
lowing tree did
three decimal
17. P(UIC)
19. P(W|C)
21. P(VIC)
Find the probab
diagram below.
23. P(A)
25. P(C)
27. P(A C)
A
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