∑
1
=1
n
n
i
ii
EE302 Homework #1
{}
{
}
{}{
}
∪
∪
±∪
∪²
³
´

S
S
,,,,, ,
A
,, ,B
,, ,C ,,, .
/.
A
B
C
AB
AC
AC B
S
A,B,C
A,B
C
C,
ABAB
A
B
A B A
A ...,A
B
BA
A
= 1357911
= 135
=
7911
= 13911
16
Pr( )
Pr(
)
)
Pr[(
)
]
?
=
) Pr( )+Pr( )
) Pr( )
Pr( )=
)Pr( )
Assigned 8/29/11, Due 9/7/11 (by 4:30 in dropbox in MSEE 330)
1. A space
is de±ned as
and three subsets as
Assumethateachelementhasprobability
Findthefollowing
probabilities:
(a)
(b)
(c)
(d)
(e)
(f)
2. A pair of dice are rolled.
(a) What is the probability space
(b) Determine the probability of each of the following events:
i. The sum of the rolls is even.
ii. The ±rst roll is equal to the second.
iii. The ±rst roll is larger than the second.
3. Three intermittent switches
are in a box. Switches
and work 75%, 50% and
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 Spring '08
 GELFAND
 Probability, Probability theory, Englishlanguage films, Roll

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