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Mathematics, 29.10.2020 19:50 yeen01

Jess and Brian are playing the following game: Jess thinks of a fraction, and Brian flips a coin. If the coin turns up heads, Jess multiplies the number she's thinking of by 5/6. If the coin turns up tails, she multiplies the number she's thinking of by 6/5 Brian flips the coin ten times, and after each flip Jess multiplies the number in her head by either 5/6 or6/5, depending on the coin flip. The ten coin flips turn out to be:\[ \text{THTTHTHTTT},
\]where H means 'heads' and T means 'tails.' What number is Jess thinking of at the end of the game if she starts out with the fraction 5/9?

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Jess and Brian are playing the following game: Jess thinks of a fraction, and Brian flips a coin. If...
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