bob is seduced by the dark side:

he believes in instant easy rewards taking big risks

alice is within the bright side:

she believes on trying hard for big rewards risking litle

theyre gonna play a dice game and bet money

these are the rules of the game:

the dice is thrown two times each game, number 13 is different to 31

odd games bob is the house pair games alice is the house

the house number is 11, any time this number appears the house wins

now the bright side startegy that fits its principles is bet one each game to win 34 euros

the dark side principles become an startegy in which you bet to 34 numbers a total of 34 euros to win one, easy short term reward big risk

bob is the house:

alice bets at one number:

she has a chance of winning 34 euro one time out of 36

she has a chance of losing one euro 35 times out of 36

so in 36 games she wins 34 and loses 35, in 36 games she loses one euro that goes to the house bob

now alice is the house:

bob bets at 34 numbers to win one:

so he will win one euro 34 times out of 36

and he will lose 34 euros two times out of 36

so on 36 times he wins 34 euros and loses 34*2=68, so on 36 times he will lose 34 euros

and those 34 euros that the dark side loses go to the bright side the house

so when bob is the house alice loses 1 and when alice is the house bob loses 34

every couple of games alice will win 33 euros that by the way its a magic number out of a magic game

the key of what makes the dark side startegy lose to the bright side so uberly is that the dark side knows himslef wrong so he bets agaisnt self:

is not posible that 34 numbers appear on supperposition if you bet to number one and two youre betting against yourself cause both numbers cant posibly appear at the same time

so i hope make people think on their ways