3.58 With reference to Figure 3.13, fin (a) P(A|B); (b) P(B|C); (c) P(ANB|C);

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please just answer the part (g) and (h) in qurstion 3.58

3.58 With reference to Figure 3.13, find
(a) P(A|B);
(b) P(B|C);
(c) P(AN B|C);
(d) P(BUC|A);
(e) P(A|BUC);
(f) P(A|BNC);
(g) P(ANBNC |BN C);
(h) P(AN BNC |BUC).
Transcribed Image Text:3.58 With reference to Figure 3.13, find (a) P(A|B); (b) P(B|C); (c) P(AN B|C); (d) P(BUC|A); (e) P(A|BUC); (f) P(A|BNC); (g) P(ANBNC |BN C); (h) P(AN BNC |BUC).
78 Chapter 3 Probability
3.49 It can be shown that for any three events A, B, and C,
the probability that at least one of them will occur 1S
given by
P(AUBUC)= P(A)+P(B)+ P(C)
- P(ANB)-P(ANC)
- P(BOC)+P(ANBOC)
Verify that this formula holds for the probabilities of
Figure 3.13.
0.24
0.06
0.19
0.04
0.16
0.11
0.09
0.11
Figure 3.13 Diagram for Exercise 3.49
Transcribed Image Text:78 Chapter 3 Probability 3.49 It can be shown that for any three events A, B, and C, the probability that at least one of them will occur 1S given by P(AUBUC)= P(A)+P(B)+ P(C) - P(ANB)-P(ANC) - P(BOC)+P(ANBOC) Verify that this formula holds for the probabilities of Figure 3.13. 0.24 0.06 0.19 0.04 0.16 0.11 0.09 0.11 Figure 3.13 Diagram for Exercise 3.49
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