Fundamentals of Probability and Statistics for Engineers

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)
(b)
(c)
(d)

ABC

ABC

ABC

ABC

ABC

ABC

ABC

A(0.4) ABC

B(0.95)

C(0.95

)

A(0. 6

)

B(0. 9

)

C(0.9)

C(0.05)

C(0.1)

C(0. 9 )

C(0.95)

C(0. (^05) )
C(0.1)
B (0.05)
B (0.1)
Figure 2.9 Atreediagram
28 Fundamentals of Probability and Statistics for Engineers
ABCˆAB C[B).
ABˆA[B.
A[BˆAB.
A[B)CˆABC.