SIEO 3600 (IEOR Majors)
Assignment #4
Introduction to Probability and Statistics
February 10, 2010
Assignment #4
– due February 16th, 2010
1. A red die, a blue die, and a yellow die (all sixsided) are rolled.
We are interested in the
probability that the number appearing on the blue die is less than that appearing on the
yellow die which is less than that appearing on the red die.
(That is, if
B
(
R
) [
Y
] is the
number appearing on the blue (red) [yellow] die, then we are interested in
P
(
{
B < Y < R
}
).)
(a) What is the probability that no two of the dice land on the same number?
(b) Given that no two of the dice land on the same number, what is the conditional proba
bility that
{
B < Y < R
}
?
(c) What is
P
(
{
B < Y < R
}
)?
(d) If we regard the outcome of the experiment as the vector
B, R, Y
, how many outcomes
are there in the sample space?
(e) Without using the answer to (c), determine the number of outcomes that result in event
{
B < Y < R
}
.
(f) Use the results of parts (d) and (e) to verify your answer to part (c).
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 Spring '10
 YUNANLIU
 Probability, Probability distribution, Probability theory, IEOR Majors

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