May 2024
Intermediate to advanced
687 pages
18h 35m
English
Content preview from Discrete Mathematical Structures by Pearson
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5-28 Discrete Mathematical Structures
Solution: Let O denote the event that oil change will take place and N the event of change of
new oil filter.
We are given þ(O) = 0.25, þ(N) = 0.35, þ(O ∩ N) = 0.15
(1) Required probability is p(N/O) =
þN O
þO
()
()
0.15
0.25 5
∩
===
3
06
.
(2) Required probability is p(O/N) =
þO N
þN
()
()
0.15
0.35
∩
===
3
7
043.
Example 4 In a married couple, the probability that the husband watches a particular TV
serial is 0.35 and the probability that the wife watches the serial is 0.45. The probability
that the husband watches the serial, given that his wife does, is 0.6. Find the probability that
(1) the married couple watches the ...
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