36. If the second ball is red, what is the probability that the first ball was red?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 32E
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Please help with problem #36 and #8. Thank you so much
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 Then a ball is withdrawn from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?
tv
JO)
0
I
44.
C
G
f
In Pro
deck. P
before
sets it c
45. W
dra
46. WH
dra
47. If th
the
48. If th
the f
49. If the
the fi
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 Then a ball is withdrawn from the chosen urn.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? tv JO) 0 I 44. C G f In Pro deck. P before sets it c 45. W dra 46. WH dra 47. If th the 48. If th the f 49. If the the fi
-21
35
143
452
454
458
500
G1
NOV
7
3.
5.
T
3
+
T
+
4 3
54
TIN
2
1 1 43
--+
53 54
12. P(NB)
Start
=
.6
4
M
4.
N
tv
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
Transcribed Image Text:-21 35 143 452 454 458 500 G1 NOV 7 3. 5. T 3 + T + 4 3 54 TIN 2 1 1 43 --+ 53 54 12. P(NB) Start = .6 4 M 4. N tv 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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