Problem Set 1 (due Sept. 5, 2001) and Question Bank 1
August 29, 2001
1
Problem set
Reif, 1.3, 1.5, 1.9, 1.10, 1.13, 1.24.
2
Question Bank
I.1.
Probabilities and numbers of trials
. Suppose someone offers you a choice between
(a) $150 if a single roll of a die turned up “6”; or (b) a definite prize of $20. Which would
you choose, and why? What if the choice was between (c) $150 for each “6” that turns up
in 30 rolls; or (d) a definite prize of $600?
I.2.
Permutations
. Consider 100 distinct names written on cards in a hat. Suppose the
cards are mixed thoroughly, and then pulled out one at a time to form a list. What is the
probability that the names on that list will be in alphabetical order? How many times would
I have to repeat this procedure for there to be a greater than 50% chance of the alphabetic
list turning up at least once?
I.3.
Permutations
. Proteins are chain molecules (polymers) made up of amino acids. There
are twenty common amino acids. Let’s consider fairly short proteins, containing 153 amino
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 Fall '07
 PATATA
 Physics, DNA, Amino Acids

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