(a) 'A' speaks truth in 60 per cent cases and 'B' in 70 per cent cases. In what percent- age of cases are they likely to contradict each other in stating the same fact ? (b) Three groups of workers contain 3 men and 1 woman, 2 men and 2 women, and 1 man and 3 women respectively. One worker is selected at random from each group. What is the probability that the group selected consists of I man and 2 women?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(a) *A' speaks truth in 60 per cent cases and 'B' in 70 per cent cases. In what percent-
age of cases are they likely to contradict each other in stating the same fact ?
(b) Three groups of workers contain 3 men and 1 woman, 2 men and 2 women, and 1 man and
3 women respectively. One worker is selected at random from each group. What is the probability that the
group selected consists of 1 man and 2 women?
Transcribed Image Text:(a) *A' speaks truth in 60 per cent cases and 'B' in 70 per cent cases. In what percent- age of cases are they likely to contradict each other in stating the same fact ? (b) Three groups of workers contain 3 men and 1 woman, 2 men and 2 women, and 1 man and 3 women respectively. One worker is selected at random from each group. What is the probability that the group selected consists of 1 man and 2 women?
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