A Local TV Station Employs Desmorelda, "Mistress of the Zodiac

Short Answer

A local TV station employs Desmorelda, "Mistress of the Zodiac", as its weather forecaster. Now, when it rains, Sagittarius is in the shadow of Jupiter one-fourth of the time, and it rains on 4 out of every 50 days. Sagittarius falls in Jupiter's shadow on only one in every six rainless days. The powers that be at the station notice a disturbing pattern to Desmorelda's weather predictions. It seems that she always predicts that it will rain when Sagittarius is in the shadow of Jupiter. What percentage of the time is she correct Round your answer to the nearest 1%.

The percentage is __________%.