What percent of the time will you get something in the range from 60 heads and 40 tails through 40 heads and 60 tails when tossing 100 coins? The total number of microstates in that range is 1.22×1030 . Table 15.4 100-Coin TossMacrostateNumber of microstatesHeads Tails(W)100991.0x10?957.5x10790101.7×1013752.4x 10232560401.4x 1028556.1x 102845519.9x 102849501.0x 102950499.9x 10285145556.1x1028401.4x 102860252.4x 10237510901.7×1013957.5x107991.0x102100Total: 1.27x1030

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Answered: Table 15.4 100-Coin Toss Macrostate…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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What percent of the time will you get something in the range from 60 heads and 40 tails through 40 heads and 60 tails when tossing 100 coins? The total number of microstates in that range is 1.22×10³⁰ .

Table 15.4 100-Coin Toss
Macrostate
Number of microstates
Heads Tails
(W)
100
99
1.0x10?
95
7.5x107
90
10
1.7×1013
75
2.4x 1023
25
60
40
1.4x 1028
55
6.1x 1028
45
51
9.9x 1028
49
50
1.0x 1029
50
49
9.9x 1028
51
45
55
6.1x1028
40
1.4x 1028
60
25
2.4x 1023
75
10
90
1.7×1013
95
7.5x107
99
1.0x102
100
Total: 1.27x1030

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