Home Maths Probability General Mr. Modi is a professional tea taster. When …
Maths Probability General Numeric Response
Published on: August 13, 2026

Mr. Modi is a professional tea taster. When given a high grade tea, he will identify it with probability 0.9 correctly as high grade and will mistake it for a low grade tea with probability 0.1 . When given a low grade tea, he will identify it with probability 0.8 correctly as low grade tea and will mistake it for a high grade tea with probability 0.2 . Suppose that Mr. Modi is given ten unlabelled cups of tea, three with high grade and seven with low grade tea. He randomly picks a cup, tries the tea and solemnly says “high grade tea”. If the probability that the tea he tasted was low grade tea is express in form of a/b then (3a – b) equals. (Where a & b are co-prime natural numbers)

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The correct answer is:
1

(1)

Sol. P(identify high grade tea correctly) = ; P (identify low grade tea correctly) =

P (Given high grade tea) = ; P (Given low grade tea) =

P (Low grade tea / says high grade tea) = =

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