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SIEO 3600 (IEOR Majors)
Assignment #3
Introduction to Probability and Statistics
February 3, 2010
Assignment #3
– due February 9th, 2009
1. A group of 5 boys and 10 girls is lined up in random order — that is, each of the 15! is
assumed to be equally likely.
(a) What is the probability that the person in the 4th position is a boy?
(b) What about the person in the 12th position?
(c) What is the probability that a particular boy is in the 3rd position?
2. A woman has
n
keys, of which one will open her door. If she tries the keys at random,
discarding those that do not work, what is the probability that she will open the door on her
k
th try? What if she does not discard previously tried keys?
3. In a special poker game, a player is dealt four cards from a 52 card deck. The set of the cards
is call a poker hand, where the order of cards does not matter.
(a) How many possible distinct hands can one get from this poker game?
(b) Suppose we have a “two pair” hand which contains two cards of the same rank, plus
two cards of another rank (that match each other but not the ﬁrst pair). What is the
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 Spring '10
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