Question 259687: You roll a conventional fair die repeatedly. If it shows I, you must stop, but you may choose to stop at any prior time. Your score is the number shown by the die on the final roll. What stopping strategy yields the greatest expected score? What strategy would you use if your score were the square
of the final roll?
Answer by edjones(8007)   (Show Source):
You can put this solution on YOUR website! A)
wait for a 6: 6+1=7 only 2 numbers matter, 6 & 1
7/2=3.5
6 or 5: 6+5+1=12
12/3=4 divide by 3 because 3 numbers matter 6,5, 1.
6, 5, 4: 6+5+4+1=16
16/4=4
6,5,4,3=18
18/4=3.5
Stop rolling when you get a 4 or higher.
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B)
wait for a 6: 36+1=37
37/2=18.5
6 or 5: 36+25+1=62
62/3=20.67
6,5,4: 36+25+16+1=78
78/4=19.5
Stop when you roll a 5 or 6.
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Ed
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