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STA505
Midterm Practice Exam Solutions
Fall 2009
1. The West Chester Eating Club decides to have a Sundae Buffet Bar. There are four
types of ice cream (chocolate, strawberry, vanilla, and pumpkin), three types of liquid
toppings (chocolate, caramel, and butterscotch), and two types of candy toppings
(sprinkles and gummibears).
a)
How many different sundaes can be made using exactly one type of ice cream,
one liquid topping, and one candy topping?
4*3*2
b)
How many different sundaes can be made using three scoops of ice cream, one
liquid topping, and one candy topping? It is permissible to have two or more
scoops of the same flavor of ice cream. Also, order does not matter. We think of a
sundae of having two scoops of chocolate and one scoop of vanilla NOT as the
first scoop being chocolate, the second scoop being vanilla, and the third scoop
being chocolate.
4*4*4*3*2
c)
The West Chester Eating Club fills a bin with delicious M&M candies. There are
1000 red M&Ms, 650 blue M&Ms, 327 brown M&Ms, and 540 yellow M&Ms. If
100 M&Ms are drawn at random what is the probability of getting exactly 60
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 Spring '09
 LisaMarano
 Probability

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