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3. Two teaching methods, DuoLingo and Rosetta Stone, are implemented for learning Spanish. There is a 70% chance of successfully learning Spanish if Duolingo is

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3. Two teaching methods, DuoLingo and Rosetta Stone, are implemented for learning Spanish. There is a 70% chance of successfully learning Spanish if Duolingo is used, and an 85% chance of success if Rosetta Stone is used. Rosetta Stone is substantially more time consuming and is therefore used only 20% of the time while DuoLingo is used the other 80% of the time. The following notations are suggested: . D-Duolingo is used. . R-Rosetta Stone is used. . L-Spanish was Learned successfully. a ) Interpret each of the probabilities (percentages) given in the original problem in probability notation with their respective values (four of these). b ) Draw a Probability Tree representing each of the probabilities mentioned above. C) What is the likelihood a person does not learn Spanish? d) A student learned Spanish successfully. What is the probability that they were taught by Rosetta Stone

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