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A television repairman says that 70% of all house calls are made for service on High Definition (HD) TV sets, and 30% on Standard (SD) TV sets.
A television repairman says that 70% of all house calls are made for service on High Definition (HD) TV sets, and 30% on Standard (SD) TV sets. It is known that 20% of all HD TVs are over 50 inches wide (80% being under 50 inches), and only 10% of all SD TVs are over 50 inches (90% being under 50 inches.) If service is needed on a TV under 50 inches wide, what is the probability that it is a High Definition (HD) TV?