Concept explainers
You now have $5000. You will toss a fair coin four times. Before each toss you can bet any amount of your money (including none) on the outcome of the toss. If heads comes up, you win the amount you bet. If tails comes up, you lose the amount you bet. Your goal is to reach $15,000. It turns out that you can maximize your chance of reaching $15,000 by betting either the money you have on hand or $15,000 minus the money you have on hand, whichever is smaller. Use simulation to estimate the probability that you will reach your goal with this betting strategy.
To estimate: The probability that Person X would reach the goal with the betting strategy.
Introduction: Simulation model is the digital prototype of the physical model that helps to forecast the performance of the system or model in the real world.
Explanation of Solution
Formulae to determine the above table:
Output results:
The following table is attained by running the simulation @RISK by placing the cursor at B15:
The gambler reaches the goal about 31.5% of the time
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Chapter 11 Solutions
Practical Management Science
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- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,