Math 101.01
Exam 2
29 October 1998
Name: ________________________
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All pertinent work must be shown clearly and neatly! Points will be deducted for
missing, incorrect or unclear work. No partial credit will be given to an incorrect
result without work shown. Draw a circle or a box around your answer.
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1. (10 points) BI-Mart carries 17 different Halloween costumes. How many ways can
they arrange 4 of them in a display at the front of the store if the order of the
costumes in the display matters?
2. (12 points) Roulette is a game involving a bowl-like wheel sitting in the center of a
table. The wheel has numbers from 1 to 36, plus 0 and 00 placed around the edge.
The dealer spins the wheel and drops a metal ball into the bowl. As the wheel slows,
the ball comes to rest on one of the 38 numbers. Wagers are made on which number
or what type of number the ball will stop on. For example, a person may wager $1 on
"odd." If the ball stops on an odd number the better wins $1. If the number is not
odd, then the $1 wager is lost. What is the expected value of wagering $1 on "odd"?
3. (10 points) If Delbert owns 3 pairs of pants, 2 belts, 4 hats, and 2 shirts, how many
different "outfits" can Delbert wear? (Each "outfit" is a pair of pants, a belt, a hat,
and a shirt.)
4. 6 cards are dealt from a standard 52-card deck.
a. (10 points) What is the probability of being dealt 3 Jacks?
b. (10 points) What is the probability of being dealt a 3-of-a-kind and a pair? (If
you're not sure what a 3-of-a-kind or a pair is, ask.)
c. (5 points) What are the odds of being dealt a 3-of-a-kind and a pair?
5. (7 points) If the house odds in Las Vegas of the Detroit Red Wings winning the
Stanley Cup are at 12:1, what is the probability that the Red Wings will win the
Stanley Cup?
6. (12 points) Suppose you and your buddy make up a new game involving two 6-sided
dice. In this new game, the player will win an amount of money equal to the sum of
the spots on both dice if the sum is odd. The player will lose an amount equal to the
sum of the spots on both dice if the sum is even. If you play this game 30 times, how
much money should you expect to win or lose?
7. (12 points) In the game of keno, what if the probability of selecting 6 numbers on
your playing card and having exactly four of the numbers be winning numbers?
8. (12 points)There are 37 students in this class. If the psychology department selected
4 students at random to be taken away, what is the probability that you would be
chosen?