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STAT/MA 416
October 14, 2011
Problem Set 20
Name:
1. Rock Block.
On a certain radio station, 70% of the songs are rock songs, and 30% of
the songs are pop songs. The songs are selected independently. Each “block” of songs (a
“block” is a set of songs between commercials) contains 10 songs. The DJ says that the next
“block” of songs has at least 8 rock songs. Given this information, what is the probability
that
all 10 songs
in that “block” will be rock songs?
1
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A pizza place oﬀers the choice of the following toppings: extra cheese, mushrooms,
pepperoni, ham, sausage, onions, and green peppers. Assume that order of toppings is
irrelevant. Also assume that toppings cannot be reused (e.g., no double sausage is allowed).
a. How many 3topping pizzas are possible?
b. If I randomly order a 3topping pizza, what is the probability that sausage is a topping?
c. If I randomly order a 3topping pizza, what is the probability that sausage and
pepperoni are toppings?
2
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 Fall '08
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 Probability

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