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EL630: Homework 3
1. (Book:31) Let
p
represent the probability of an event
A
. What is the probability that (a)
A
occurs at least twice in
n
independent trials; (b)
A
occurs at least thrice in
n
independent
trials?
2. (Book:32) A pair of dice is rolled 50 times. Find the probability of obtaining double six
at least three times.
3. (Book:33) A pair of dice is rolled 10 times. Find the probability that “seven” will show at
least once.
4. (Book:34) A coin with
( )
1
ph p q
=
=
is tossed
n
times. Show that the probability that the
number of heads is even equals
0.5[1 ( 
)]
n
q p
+
.
5. (Book:36) Consider the following three events: (a) At least 1 six is obtained when six
dice are rolled, (b) at least 2 sixes are obtained when 12 dice are rolled, and (c) at least 3
sixes are obtained when 18 dice are rolled. Which of these events is more likely?
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This note was uploaded on 02/10/2012 for the course EL 6303 taught by Professor Pm during the Spring '10 term at NYU Poly.
 Spring '10
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