Page 45 - Fundamentals of Probability and Statistics for Engineers

28 Fundamentals of Probability and Statistics for Engineers

ABC
C (0.95)

ABC
C (0.05)
B (0.95)
C (0.1) ABC

A (0.4)
B (0.05)
C (0.9) ABC

C (0.95) ABC
B (0.1)
A (0.6)
ABC
C (0.05)
C (0.1)
B (0.9)
ABC

C (0.9)
ABC
Figure 2.9 Atree diagram

REFERENCE

Todhunter, I., 1949, A History of the Mathematical Theory of Probability from the Time
of Pascal to Laplace, Chelsea, New York.

FURTHER READING

More accounts of early development of probability theory related to gambling can be
found in
David, F.N., 1962, Games, Gods, and Gambling, Hafner, New York.

PROBLEMS

2.1 Let A, B, and C be arbitrary sets. Determine which of the following relations are
correct and which are incorrect:
(a) ABC ˆ AB C [ B).
(b) AB ˆ A [ B.
(c) A [ B ˆ A B.
(d) A [ B)C ˆ A BC.

TLFeBOOK