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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, without 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?

Answer is 283/60

please show the steps clearly and specifically.

math   Statistics-And-Probability   
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Answer #1

latien P(AITATTLETALE) = 10 PLAI TATT o0) =1 6 PCAITATTING) P(A) = P(AITATTLE TALE) x P (TAT TLE TALE) + PLAI TATTOO) XP (TA

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