{"text_format":"1","workbook":"xlsx","n_sheets":2,"sheets":["Model","Simulations"],"not_rendered":{"charts":1,"images":1,"macros":1,"external_links":0,"defined_names":12,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Model","index":0,"n_rows":100,"n_cols":8,"rows_kept":100,"cut":false,"hidden":false,"merged":[]}
[]
["Roulette Wheel"]
[]
["There are 38 possible outcomes, two are double zero, 18 are black and 18 are red."]
[]
["If you bet either black or red your chances of winning an amount equal to your bet is"]
["18/38. If you win you keep your bet and receive an additional amount equal to your"]
["bet. If you lose you receive nothing and lose your bet. This can be modeled as:"]
[]
[null,"Starting Amount",1000]
[null,"Amount Bet",10]
["Bet Number","Total Dollars Owned Before Bet","Amount Bet","Win or Lose","Change in Wealth","Total Dollars Owned After Bet"]
[]
[{"$f":"1+A13","v":1},{"$f":"C10","v":1000},{"$f":"$C$11","v":10},{"$f":"IF(RAND()<18/38,\"Win\",\"Lose\")","v":"Lose"},{"$f":"IF(D14=\"Win\",C14,-C14)","v":-10},{"$f":"B14+E14","v":990}]
[{"$f":"1+A14","v":2},{"$f":"F14","v":990},{"$f":"$C$11","v":10},{"$f":"IF(RAND()<18/38,\"Win\",\"Lose\")","v":"Lose"},{"$f":"IF(D15=\"Win\",C15,-C15)","v":-10},{"$f":"B15+E15","v":980}]
[{"$f":"1+A15","v":3},{"$f":"F15","v":980},10,"Lose",{"$f":"IF(D16=\"Win\",C16,-C16)","v":-10},{"$f":"B16+E16","v":970}]
[4,970,10,"Lose",-10,960]
[5,960,10,"Win",10,970]
[6,970,10,"Win",10,980]
[7,980,10,"Win",10,990]
[8,990,10,"Win",10,1000]
[9,1000,10,"Lose",-10,990]
[10,990,10,"Lose",-10,980]
[11,980,10,"Lose",-10,970]
[12,970,10,"Lose",-10,960]
[13,960,10,"Lose",-10,950]
[14,950,10,"Win",10,960]
[15,960,10,"Lose",-10,950]
[16,950,10,"Win",10,960]
[17,960,10,"Win",10,970]
[18,970,10,"Win",10,980]
[19,980,10,"Lose",-10,970]
[20,970,10,"Lose",-10,960]
[21,960,10,"Win",10,970]
[22,970,10,"Lose",-10,960]
[23,960,10,"Lose",-10,950]
[24,950,10,"Lose",-10,940]
[25,940,10,"Lose",-10,930]
[26,930,10,"Lose",-10,920]
[27,920,10,"Win",10,930]
[28,930,10,"Win",10,940]
[29,940,10,"Lose",-10,930]
[30,930,10,"Lose",-10,920]
[31,920,10,"Lose",-10,910]
[32,910,10,"Lose",-10,900]
[33,900,10,"Lose",-10,890]
[34,890,10,"Win",10,900]
[35,900,10,"Lose",-10,890]
[36,890,10,"Lose",-10,880]
[37,880,10,"Lose",-10,870]
[38,870,10,"Lose",-10,860]
[39,860,10,"Lose",-10,850]
[40,850,10,"Win",10,860]
[41,860,10,"Win",10,870]
[42,870,10,"Win",10,880]
[43,880,10,"Lose",-10,870]
[44,870,10,"Win",10,880]
[45,880,10,"Win",10,890]
[46,890,10,"Win",10,900]
[47,900,10,"Win",10,910]
[48,910,10,"Win",10,920]
[49,920,10,"Win",10,930]
[50,930,10,"Win",10,940]
[null,null,null,null,{"$f":"SUM(E14:E63)","v":-60}]
[]
[null,null,null,null,"Final Tally of Amount Won (Lost)",{"$f":"F63-B14","v":-60}]
[null,null,null,null,"Maximum Bet",{"$f":"MAX(C14:C63)","v":10}]
[]
[1,-300,{"$f":"FREQUENCY(Simulations!C3:L1002,Model!B69:B98)","v":1}]
[{"$f":"1+A69","v":2},-280,0]
[3,-260,7]
[4,-240,15]
[5,-220,22]
[6,-200,55]
[7,-180,105]
[8,-160,174]
[9,-140,307]
[10,-120,494]
[11,-100,696]
[12,-80,865]
[13,-60,989]
[{"$f":"1+A81","v":14},-40,1134]
[15,-20,1114]
[16,0,1060]
[17,20,873]
[18,40,705]
[19,60,554]
[20,80,360,"P(Win)",{"$f":"18/38","v":0.47368421052631576},{"$f":"getformula(E88)","v":{"$error":"#NAME?"}}]
[21,100,228,"P(Lose)",{"$f":"1-E88","v":0.52631578947368429},{"$f":"getformula(E89)","v":{"$error":"#NAME?"}}]
[22,120,121,"Bet Amount",{"$f":"C11","v":10}]
[23,140,64,"E(NPV)",{"$f":"(E88-E89)*E90","v":-0.52631578947368529},"Note: NPV=Payoff-Bet = Bet if win or -Bet if Lose"]
[24,160,36,"E(NPV*50)",{"$f":"E91*50","v":-26.315789473684266}]
[25,180,12]
[26,200,5,"S(NPV*50)",{"$f":"AVERAGE(DataTableValues)","v":-27.248000000000001},"<-- S() Simulated Mean"]
[27,220,1,"SD(NPV*50)",{"$f":"_xlfn.STDEV.S(DataTableValues)","v":70.263790077248203},"<-- SD() Simulated StDev"]
[28,240,2,"SSD(NPV*50)",{"$f":"E95/10000^0.5","v":0.702637900772482},"<-- SSD() Simulated SAMPLE StDev"]
[29,260,1]
[30,280,0,{"$f":"$E$94-$E$95*$G$98","v":-238.03937023174461},{"$f":"E94","v":-27.248000000000001},{"$f":"$E$94+$E$95*$G$98","v":183.54337023174463},3,"CI interval on Mean"]
[null,null,null,{"$f":"$E$94-$E$96*$G$99","v":-29.355913702317448},{"$f":"E94","v":-27.248000000000001},{"$f":"$E$94+$E$96*$G$99","v":-25.140086297682554},3,"CI interval on Sample Mean"]
[null,"Sum -->",{"$f":"SUM(C69:C98)","v":10000}]

{"sheet":"Simulations","index":1,"n_rows":1002,"n_cols":12,"rows_kept":1002,"cut":false,"hidden":false,"merged":[]}
[null,null,"Data Table: Simulated Values of Formula Cell"]
["Formula Cell-->",{"$f":"Model!F66","v":-60},1,2,3,4,5,6,7,8,9,10]
[null,1,0,-40,-20,0,60,120,-40,-40,40,40]
["Dummy1",2,-20,-40,-80,-20,-20,60,-120,40,-120,80]
["Dummy2",3,-80,-100,0,-40,-40,60,-140,40,80,-100]
[{"$f":"MAX(C3:L1002)","v":260},4,-60,20,-60,0,20,40,20,0,-40,-20]
[{"$f":"MIN(C3:L1002)","v":-300},5,60,-140,-120,100,-100,-140,-160,-40,100,-80]
[null,6,-80,-80,40,-100,20,80,140,100,60,40]
[null,7,-80,-20,-20,40,-80,-20,60,20,60,-20]
[null,8,0,60,-40,-160,-80,100,-100,60,40,-100]
[null,9,-160,-140,20,-80,0,-80,-60,-140,-60,-60]
[null,10,-120,20,100,80,-140,-100,-20,0,100,-40]
[null,11,-120,-160,-140,60,20,-40,-160,-60,-140,-120]
[null,12,-80,-40,-60,-60,-120,-20,-40,-40,-100,-140]
[null,13,-60,-40,-40,-20,-40,-20,-60,-100,-120,120]
[null,14,-20,-60,-40,-80,-60,-40,60,-40,20,40]
[null,15,-60,-100,20,-180,20,-100,40,80,-40,-140]
[null,16,-80,180,20,40,100,-100,-40,-40,-40,-140]
[null,17,-120,-200,-60,-60,-80,20,40,20,20,240]
[null,18,60,-40,-20,-20,0,-260,-60,-40,100,-20]
[null,19,-60,-80,20,100,60,-140,40,-60,0,80]
[null,20,-80,-40,100,-100,-40,0,0,-20,0,40]
[null,21,-20,-60,100,-20,-100,-40,0,-60,60,-20]
[null,22,-20,-100,-60,60,-180,-80,-120,-100,60,-60]
[null,23,-40,20,-60,-80,-100,-140,-40,60,-20,-40]
[null,24,-20,100,-80,-40,40,-40,-60,20,-40,-40]
[null,25,80,-180,-20,-120,-60,-20,40,-60,0,20]
[null,26,-20,-80,20,80,100,20,0,0,-40,-80]
[null,27,0,20,-60,-140,-60,20,-80,-40,-40,40]
[null,28,-100,-60,-100,-100,0,-20,-80,80,-80,20]
[null,29,80,-80,-100,-40,120,-20,0,-100,-40,-40]
[null,30,-120,-140,-40,40,-80,0,-180,20,-220,-40]
[null,31,-80,-140,0,20,-20,-60,140,-40,20,-20]
[null,32,-20,40,80,-60,-240,-160,20,20,40,0]
[null,33,-100,40,0,80,-60,0,-40,-20,-60,-40]
[null,34,-60,40,-80,80,-120,20,-100,-60,80,-20]
[null,35,-60,-80,-120,140,-120,-100,-20,-120,40,-60]
[null,36,120,-40,-80,-60,-20,80,40,-20,-100,0]
[null,37,140,-20,-80,-100,80,-80,0,-80,-40,-20]
[null,38,-100,-20,60,-40,-20,40,-60,-40,0,-20]
[null,39,0,-40,-20,120,-100,-80,-160,-80,-120,60]
[null,40,-160,-40,0,-80,-40,-40,20,-140,-20,20]
[null,41,-40,20,-40,20,20,-80,-40,20,-140,-60]
[null,42,40,-120,20,-120,0,20,-20,-140,40,-40]
[null,43,-140,160,-80,-80,-20,140,-40,0,-40,0]
[null,44,-20,0,-80,-20,-80,-20,-80,-40,-80,-40]
[null,45,20,-20,-80,0,-120,-100,-40,0,-100,-20]
[null,46,80,0,-80,-80,0,-120,-200,-40,-60,-60]
[null,47,40,40,20,-100,-40,-20,60,-80,20,-140]
[null,48,-60,-100,0,-120,-80,-180,-100,-40,-100,0]
[null,49,20,-120,-60,-100,-40,-20,140,60,-20,20]
[null,50,-20,60,-40,20,-140,-40,-120,-140,-180,-60]
[null,51,40,-60,-240,20,-20,-80,-80,60,20,-120]
[null,52,0,40,-100,140,0,60,0,-100,-60,-40]
[null,53,-160,0,0,-20,40,-60,-60,60,-100,-140]
[null,54,-20,40,-120,-40,-60,-100,-40,0,60,-20]
[null,55,20,-140,-20,0,-40,-20,40,100,-60,-100]
[null,56,-100,-120,60,-80,-60,-80,0,-140,-80,40]
[null,57,-40,20,-40,-100,140,0,-20,40,-20,0]
[null,58,20,-40,140,60,-80,-60,-40,80,40,-40]
[null,59,0,-40,-60,-60,60,-60,-60,80,20,-20]
[null,60,40,-20,-80,-40,40,-40,-20,60,-40,100]
[null,61,-140,-40,140,-40,-40,-120,-60,-120,40,-140]
[null,62,40,-80,-60,-40,-60,-120,0,-80,-60,60]
[null,63,-60,-40,-120,-80,-40,-60,-40,-60,60,-20]
[null,64,-80,-60,-100,-120,80,-80,-140,0,-40,-60]
[null,65,40,-60,-100,-60,-60,-80,40,-80,40,-60]
[null,66,40,120,-40,-60,-120,-40,-20,-20,-20,0]
[null,67,-40,-60,-80,-120,-120,40,-120,-80,-120,-160]
[null,68,-20,160,0,-80,60,-40,20,-100,-80,-60]
[null,69,-60,-80,-20,120,60,-40,-160,-40,20,0]
[null,70,-120,-80,-40,0,-80,-100,0,-140,100,-60]
[null,71,-120,-80,40,-120,0,-20,0,-60,-20,0]
[null,72,0,20,40,-80,-80,0,-80,-40,100,40]
[null,73,20,80,-60,40,-60,-60,0,60,0,-40]
[null,74,-40,40,0,140,-60,0,-40,-60,-160,-100]
[null,75,40,-20,120,-40,0,80,120,-60,-80,-140]
[null,76,-60,-60,-120,-40,-140,0,20,0,140,20]
[null,77,40,-20,-180,-160,0,-40,-60,40,120,40]
[null,78,-40,-120,-40,-60,-60,-120,-40,0,60,-80]
[null,79,-40,-100,-120,-80,-40,-20,20,-140,-40,80]
[null,80,40,-20,-40,-40,0,0,80,-20,-100,-160]
[null,81,20,-40,60,-60,0,60,-120,-100,20,-60]
[null,82,-40,40,-60,-100,-100,0,-40,0,40,-40]
[null,83,-40,60,0,-60,-80,-120,-80,-60,60,-60]
[null,84,40,-20,-140,-100,-120,140,-120,0,-60,-20]
[null,85,-40,-100,-60,-40,-100,60,-40,-160,-80,40]
[null,86,40,-20,0,-60,-60,-20,-80,-100,-100,40]
[null,87,-100,-80,0,20,-180,-20,-120,-40,-80,100]
[null,88,-40,-100,60,80,-60,-20,-80,-100,20,-60]
[null,89,-80,20,20,-180,-20,-120,-140,20,20,-120]
[null,90,60,20,-20,-60,-20,0,-60,-100,-120,0]
[null,91,-80,-120,-40,-60,20,-60,20,-80,-80,-120]
[null,92,0,-100,-60,-80,-140,-80,20,60,-160,80]
[null,93,-60,40,-60,40,20,-120,-120,-20,40,20]
[null,94,-140,40,-40,-60,-100,0,80,80,-80,0]
[null,95,40,-100,-80,-100,60,160,-40,20,40,-40]
[null,96,-120,20,-80,0,-200,40,-80,-20,20,60]
[null,97,0,-120,-120,-20,20,0,-80,20,0,-100]
[null,98,-200,-20,-80,20,-120,0,60,-80,-20,40]
[null,99,-20,100,-80,-100,-60,-40,-100,20,-100,100]
[null,100,-60,60,-60,20,-20,-40,0,40,-80,-20]
[null,101,-40,-160,20,-80,-120,-20,-80,-20,-40,40]
[null,102,0,0,0,20,-140,-40,-120,120,20,-80]
[null,103,120,-60,-40,0,40,-20,60,60,-120,-80]
[null,104,0,140,-80,20,60,40,-60,0,0,0]
[null,105,-120,-140,20,20,-20,-80,-20,-100,-140,-40]
[null,106,20,-100,-80,-60,80,-60,40,-40,-40,120]
[null,107,0,-20,-160,-100,-40,-80,-80,-100,-20,-100]
[null,108,-100,-60,-20,-60,-60,20,-140,60,-100,-140]
[null,109,-40,-40,-120,60,-100,40,-20,-140,-60,-60]
[null,110,-120,-20,-100,-120,0,-120,20,-40,-60,40]
[null,111,0,-60,180,20,-80,-40,-140,-60,-140,-60]
[null,112,60,-20,-80,-120,80,-60,0,-140,80,120]
[null,113,-40,0,0,-60,-40,-40,-180,-140,40,-100]
[null,114,0,-140,-100,-20,-80,-20,-60,-80,60,0]
[null,115,-60,-40,0,-100,40,0,20,160,20,-140]
[null,116,-100,60,-120,-100,40,100,-140,-40,-20,60]
[null,117,-60,40,-140,-100,-60,20,0,-40,0,-120]
[null,118,-140,40,-40,-60,40,0,-120,160,-20,40]
[null,119,20,20,-100,-40,-80,20,-20,-60,-80,0]
[null,120,-80,20,0,-80,20,100,-180,-20,20,120]
[null,121,80,-40,-60,-80,0,-60,-120,-80,60,-140]
[null,122,-60,-100,100,80,-40,-120,100,-60,-120,-140]
[null,123,-140,-20,-160,20,-100,-20,-40,-40,0,0]
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[null,125,20,-160,20,40,0,-160,-40,-20,-140,-80]
[null,126,-120,-100,-40,0,0,-40,-180,-120,-40,0]
[null,127,20,-20,-20,-60,-40,-60,-100,0,-40,20]
[null,128,40,60,140,60,-40,-80,-120,-40,-80,-60]
[null,129,0,-160,-40,-20,-40,0,-80,-100,40,20]
[null,130,-160,-20,-80,-100,-20,60,-180,20,0,-100]
[null,131,-60,-40,60,-60,20,-80,-20,0,140,-20]
[null,132,-60,60,-40,0,140,20,-60,60,-160,60]
[null,133,-20,-160,-100,60,-60,-80,0,120,-100,160]
[null,134,-80,-100,-80,-20,-60,0,-40,-80,-40,-40]
[null,135,-120,-40,-80,-60,0,80,-80,60,40,-20]
[null,136,-140,-60,-40,0,60,120,-60,-40,-40,60]
[null,137,100,100,-20,-160,40,-40,0,-100,-80,-100]
[null,138,-140,-20,-60,-40,80,80,-100,-20,-60,0]
[null,139,-20,80,0,0,-120,20,40,-20,-100,-40]
[null,140,-60,0,0,-60,-80,-20,60,40,60,-20]
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[null,142,-60,-80,60,0,-100,40,0,-120,-60,60]
[null,143,-100,100,-40,80,-20,-120,-200,-40,-20,-40]
[null,144,20,-80,-40,-100,0,40,20,0,-60,-20]
[null,145,-20,60,-100,0,-40,-180,0,-140,20,-80]
[null,146,-100,80,-120,-80,20,-20,-40,40,-40,-40]
[null,147,-60,20,20,-100,-120,0,20,40,-20,0]
[null,148,-20,-20,20,-60,-140,-180,-20,60,-40,0]
[null,149,0,-160,0,-40,-20,0,20,40,60,-80]
[null,150,-40,20,60,-100,-60,40,60,-160,-120,120]
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[null,152,60,20,80,-20,-100,-40,-40,-100,-60,-40]
[null,153,-40,-120,-40,-80,40,60,-60,-60,40,-60]
[null,154,-160,40,-100,40,-40,-140,-100,-80,-60,-120]
[null,155,-160,-100,-20,-40,20,-40,-40,0,20,-40]
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[null,158,-40,-80,40,40,0,140,40,-20,-60,-40]
[null,159,-100,-20,-120,-80,-20,60,-80,-40,-20,-20]
[null,160,-100,0,0,-140,60,-100,60,0,-80,-40]
[null,161,-60,-40,-40,60,-60,-60,-60,0,100,0]
[null,162,20,-60,-120,20,140,80,-120,-80,20,60]
[null,163,0,-160,-80,0,-40,40,20,120,60,20]
[null,164,-100,-80,80,-60,60,-100,20,60,100,-80]
[null,165,60,-40,-100,140,60,100,-80,0,-80,-120]
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[null,167,-160,-100,-100,-80,-40,-80,-140,-40,0,-40]
[null,168,-60,-40,-60,0,-100,-120,40,-40,80,-40]
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[null,170,140,-20,-140,-100,-100,40,0,-60,20,-20]
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[null,172,-140,-40,100,-60,60,-60,40,-80,-100,-160]
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[null,177,60,-20,60,0,-20,-40,80,-20,60,40]
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[null,180,-160,-120,-40,20,0,-60,80,60,-80,0]
[null,181,20,-60,100,-40,-80,-40,-100,-20,60,20]
[null,182,60,80,80,40,-40,0,0,-20,80,-60]
[null,183,100,-40,80,100,-80,80,0,-120,-100,-140]
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[null,185,-40,0,-80,-80,0,80,-180,0,-20,-20]
[null,186,-40,-100,-60,40,-80,-140,-100,0,-40,-20]
[null,187,20,-100,-100,-140,0,-40,60,-80,-140,-100]
[null,188,-40,-180,40,-60,-80,-140,40,-180,-100,-60]
[null,189,-60,160,40,120,-20,-60,-20,0,60,100]
[null,190,-60,-120,-20,-80,-40,-80,-140,-180,-120,-60]
[null,191,-120,20,0,-40,20,-120,0,80,40,-20]
[null,192,-20,-20,40,-80,0,-40,100,-100,0,-120]
[null,193,60,-100,-100,60,160,120,-120,-20,-40,-20]
[null,194,-60,20,0,0,-20,-20,60,-140,-20,-100]
[null,195,-40,40,0,20,-20,-140,-80,-60,-20,-100]
[null,196,20,100,-100,20,-20,0,-40,0,-120,0]
[null,197,20,-160,0,-20,20,-20,60,20,20,0]
[null,198,-20,-40,-80,-100,-80,0,-140,40,-60,-80]
[null,199,140,100,20,-100,-20,-100,-60,0,-20,-60]
[null,200,-140,-20,-60,0,80,-120,-100,40,-20,20]
[null,201,60,0,0,-80,-20,-60,0,-40,-120,-20]
[null,202,80,-20,-40,-60,0,-160,-60,-40,-40,20]
[null,203,-140,20,-40,20,0,-140,0,-100,0,-40]
[null,204,-80,-20,-120,-20,20,80,0,40,-80,-60]
[null,205,-60,-100,-80,-100,0,-80,-40,0,-20,-40]
[null,206,80,80,80,-20,-40,40,60,-100,60,-40]
[null,207,-60,0,40,-240,-120,-60,-40,80,-40,-20]
[null,208,0,0,-60,-160,-20,-100,0,-120,40,0]
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