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to get out of jail free in the board game monoloply you have to roll doubles...

to get out of jail free in the board game monoloply you have to roll doubles with a pair of standard dice. Determine odds in favour of getting out of jail on first or second roll. the answer is 11:25, show work

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Answer #1

as threre are 6 posssible outcome of doubles out of 26 total outcome ;

hence probability of a double =6/36 =1/6

P(getting doubles on first or second roll)=P(double on first roll)+P(not on first roll but on second roll)

=(1/6)+(5/6)*(1/6)=11/36

therefore odds in favour of getting out of jail on first or second roll =p/(1-p)=(11/36)/(1-11/36)=(11/36)/(25/36)=11/25 =11:25

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