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please help as soon as possible. Thank you

 Jan 26, 2019
 #1
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lmao AoPS homework

 Jan 26, 2019
 #2
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P("choose fair coin") = 24/25

P("choose unfair coin") = 1/25

 

P("6H under the condition fair coin")\(= 2^{-6} = \frac{1}{64}\)

P("6H under the condition unfair coin")=1

 

let a=P("choose fair coin") * P("6H under the condition fair coin") = 24/25 * 1/64

 

let b=P("choose unfair coin") * P("6H under the condition unfair coin") = 1/25


\(\frac{b}{a+b} = \frac{m}{n} = \frac{8}{11}\)

 

m+n=19

 Jan 26, 2019

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