Online EE 131A
Homework #1
Fall 2010
Due Oct. 7th (Midnight PST)
K. Yao
Read LeonGarcia (3rd edition) Chap. 1 (pp. 117) and Chap. 2 (pp. 2129; 4147)
1. A die is tossed and the number of dots facing up is counted and noted.
a.
What is the sample space.
b.
What is the set
A
corresponding to the event “even number of dots are facing up”?
c.
Find the set
A
c
and describe the corresponding event in words.
2. A die is tossed twice and the number of dots facing up is counted and noted in the order of
occurrence.
a.
Find the sample space.
b.
Write the set that corresponds to the event where the outcomes have an equal number of
dots in both tosses.
c.
Write the set that corresponds to the event where the outcomes have the sum of the dots
on the two dice is a prime number.
3. Consider a box with ﬁve light bulbs. Three of them are good (labeled
g
1
,
g
2
, and
g
3
) and two
of them are bad (labeled
b
1
and
b
2
). Two bulbs are picked with no replacement.
i.
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 Fall '10
 KungYao
 Probability theory, Natural number, Prime number, Zagreb

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