Question: Two teaching methods, A and B, are implemented for learning Spanish. There is a 70% chance of successfully learning Spanish if method A is used,

Two teaching methods, A and B, are implemented for learning Spanish. There is a 70% chance of successfully learning Spanish if method A is used, and a 85% chance of success if method B is used. However, method B is substantially more time consuming and is therefore used only 20% of the time (method A is used the other 80% of the time). The following notations are suggested: . A-Method A is used. . B-Method B is used. . L-Spanish was learned successfully. What is the probability that a randomly chosen person will learn Spanish successfully? O P(L) = 0.80 * 0.70 + 0.20 * 0.85 = 0.7300 O P(L) = 0.80 * 0.20 + 0.70 * 0.85 = 0.7550 O P(L) = 0.20 * 0.85 = 0.1700 O P(L) = 0.80 * 0.70 = 0.5600 O P(L) = 0.80 * 0.85 + 0.20 * 0.70 = 0.8200
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