A vendor sells two types of wines; Imported and locally produced wine. It is observed that 75% of people buy imported wine. Of the people who buy imported wine, 80% pay in cash and of those who buy locally produced wine 90% pay in cash. Find the probability that on a certain day, a customer will (ii) (a) pay in cash. (b) buy imported wine given that he pays in cash. (c) pay in cash that the wine is imported.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Answer (ii)

Two events A and B are such that P(4)=; P(AnB')=
and P(A/B) -
Find
14
(i)
(a) P(AnB)
(b) Р(В)
A vendor sells two types of wines; Imported and locally produced wine. It is observed that
75% of people buy imported wine. Of the people who buy imported wine, 80% pay in cash
and of those who buy locally produced wine 90% pay in cash. Find the probability that on a
certain day, a customer will
(ii)
(a) pay in cash.
(b) buy imported wine given that he pays in cash.
(c) pay in cash that the wine is imported.
Transcribed Image Text:Two events A and B are such that P(4)=; P(AnB')= and P(A/B) - Find 14 (i) (a) P(AnB) (b) Р(В) A vendor sells two types of wines; Imported and locally produced wine. It is observed that 75% of people buy imported wine. Of the people who buy imported wine, 80% pay in cash and of those who buy locally produced wine 90% pay in cash. Find the probability that on a certain day, a customer will (ii) (a) pay in cash. (b) buy imported wine given that he pays in cash. (c) pay in cash that the wine is imported.
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