(i) Two events A and B are such that P(A) =; P(AnB')=- and P(A/B) = Find (a) P(AnB) (b) P(B)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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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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