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The words TATTLETALE, TATTOO, TATTING contain a total of ten Th. We choose one of those...

The words TATTLETALE, TATTOO, TATTING contain a total of ten Th. We choose one of those ten h at random. We continue to use the word containing that T and discard the other words. After replacing the T, we choose letters one at a time, withut replacement, from the word in use until we get an A. On the average, how many times do we choose a letter, including the original choice of a T?

math   Statistics-And-Probability   
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PCA TATT LETALE TATTOO P(A G PCA TA TTING P(ATATTLE TALE PCTATTI ETALE) 4 ATATTOO)* PCTATTOO PCAITATTING PCTATTING PCAD= aurt

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