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Homework #2
Due Tuesday, 09/15/2009
Problem 1.
We roll two fair 6-sided dice. Each one of the 36 possible outcomes is assumed to be
equally likely.
(a) Find the probability that doubles were rolled.
(b) Given that the roll resulted in a sum of 4 or less, find the conditional probability that doubles
were rolled.
(c) Find the probability that at least one die is a 6.
(d) Given that the two dice land on different numbers, find the conditional probability that at
least one die is a 6.
Problem 2.
The disk containing the only copy of your thesis just got corrupted, and the disk got
mixed up with three other corrupted disks that were lying around. It is equally likely that any
of the four disks holds the corrupted remains of your thesis. Your computer expert friend offers
to have a look, and you know from past experience that his probability of finding your thesis
from any disc is 0.4 (assuming the thesis is there). Given that he searches on disk 1 but cannot

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