Chapter 3 Probability -.49 It can be shown that for any three events A, B, and C, the probability that at least one of them will occur is given by P(AUBUC)= P(A)+P(B)+P(C) – P(ANB) – P(ANC) - P(BNC)+P(AOBOC) - | Verify that this formula holds for the probabilities of Figure 3.13. В 0.24 0.06 0.19 0.04 0.16 0.11

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 is
given by
P(AUBUC)= P(A)+ P(B ) + P(C)
- P(ANB)– P(ANC)
- P(BNC)+P(A NBOC)
Verify that this formula holds for the probabilities of
Figure 3.13.
В
0.24
0.06
0.19
0.04
0.16
0.11
0.09
0.11
S
Figure 3.13 Diagram for Exercise 3.49
3.50 Sunnose that in the
Transcribed Image Text:A Re CD Page view 77 of 546 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 is given by P(AUBUC)= P(A)+ P(B ) + P(C) - P(ANB)– P(ANC) - P(BNC)+P(A NBOC) Verify that this formula holds for the probabilities of Figure 3.13. В 0.24 0.06 0.19 0.04 0.16 0.11 0.09 0.11 S Figure 3.13 Diagram for Exercise 3.49 3.50 Sunnose that in the
3.58 With reference to Figure 3.13, find
(a) P(A|B);
(b) P(B|C);
(c) P(ANB|C);
(d) P(BUC|A);
(e) P(A|BUC);
(f) P(A|BNC);
(g) P(ANBNC|BNC);
(h) P(A П ВОC|BUC).
3.59 With reference to the used car example and the
Transcribed Image Text:3.58 With reference to Figure 3.13, find (a) P(A|B); (b) P(B|C); (c) P(ANB|C); (d) P(BUC|A); (e) P(A|BUC); (f) P(A|BNC); (g) P(ANBNC|BNC); (h) P(A П ВОC|BUC). 3.59 With reference to the used car example and the
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