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Microsoft Word - ArtLab2024
{1,2,3,4} Coup
number Bet Size Result List profit (gain,
loss) cumulative
profit 1 5 Win 2,3 5 5 2 5 Loss 2,3,5 -5 0 3 7 Loss 2,3,5,7 -7 -7 4 9 Loss 2,3,5,7,9 -9 -16 5 11 Win 3,5,7 11 -5 6 10 Loss 3,5,7 [...] 136 171 191 196.1 185.4
coups per round
min(m) 1 1 1 2 2 3
Q1(m) 1 1 4 4 4
Median(m) 1 3 5 5 7
Em (mean) 1.982 3.082 4.486 8.979 8.984 11.33
Q3(m) 4 6 11 11 15
max(m) 5 32 41 61 69 83 E(G): Expected gain [...] simulation 145.
Table 3: Quantiles of the number of coups and mean to win 1 unit
Min. Q1 Median Mean Q3 Max. 1 1 3 4.83 6 145
The betting distribution is illustrated in Figure 3. The modal bet is one unit …