ProbabilityMedium
Question
Mr. Dupont is a professional wine taster. When given a French wine, he will identify it with probability 0.9 correctly as French and will mistake it for a Californian wine with probability 0.1. When given a Californian wine, he will identify it with probability 0.8 correctly as Californian and will mistake it for a French wine with probability 0.2. Suppose that Mr. Dupont is given ten unlabelled glasses of wine, three with French and seven with Californian wines. He randomly picks a glass, tries the wine and solemnly says : ″French″. The probability that the wine he tasted was Californian, is nearly equal to -
Options
A.0.14
B.0.24
C.0.34
D.0.44
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