Operations Research : Applications and Algorithms
4th Edition
ISBN: 9780534380588
Author: Wayne L. Winston
Publisher: Brooks Cole
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A spinner with three equal sections is being used in a game. One section is labeled “0 points,” and two sections are labeled “2 points.” A player can decide not to spin the spinner and score 1 point. Each player gets one turn, and the player with the higher score wins; in case of a tie, the winner is decided by one flip of a fair coin. Alex takes his turn first. Eddie, knowing Alex’s score, takes his turn next. If both players use strategies that maximize their winning probabilities, what is the probability that Alex wins?
a
1/3
b
1/2
c
2/3
d
4/9
QCC Casino Royale offers its customers a happy way to go home with big bucks playing its “Dice” game. The Dice game is played by asking customers to roll a pair of dice. If customers roll a seven or 11, they win; any other roll and the customer loses. The odds of rolling a seven is 6 to 1 so that if customers bet 1 dollar and win, they receive 7 dollars. The odds of rolling an eleven are 18 to 1 so that if customers bet 1 dollar and win, they receive 19 dollars.
Upon entering the casino, customers must be greeted with an appropriate welcoming message. They must be asked to indicate the amount of money that is in their bankroll to play. Customers cannot enter the casino with a bankroll greater than $1,000. Customers must play the game in rounds of 10 plays and the minimum bet for each play is 5 dollars; the maximum bet is 50 dollars.
For each try at rolling the dice, customers must be asked how much they want to bet and for each try must be informed of the result and the…
There are four people who want to cross a rickety bridge; they all begin on the
same side. You have 17 minutes to get them all across to the other side. It is night, and
they have one flashlight. A maximum of two people can cross the bridge at one time. Any
party that crosses, either one or two people, must have the flashlight with them. The
flashlight must be walked back and forth; it cannot be thrown, for example. Person 1
takes 1 minute to cross the bridge, person 2 takes 2 minutes, person 3 takes 5 minutes,
and person 4 takes 10 minutes. A pair must walk together at the rate of the slower
person's pace.
Write the specification of an algorithm that solves the problem.
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Operations Research : Applications and Algorithms
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