Example, 12
A carton consists of 100 shirts of which 88 are good, 8 have minor defects and 4 have major defects. Jimmy, a trader, will only accept the shirts which are good, but Sujatha, another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that
it is acceptable to Jimmy?
Total number of shirts = 100
Number of shirts acceptable to jimmy
= Number of shirts which are good
= 88
P (shirt is acceptable to Jimmy) = (๐๐ข๐๐๐๐ ๐๐ ๐ โ๐๐๐ก๐ ๐๐๐๐๐๐ก๐๐๐๐ ๐ก๐ ๐ฝ๐๐๐๐ฆ)/(๐๐๐ก๐๐ ๐๐ข๐๐๐๐ ๐๐ ๐ โ๐๐๐ก๐ )
= 88/100
= 0.88
Example 12
A carton consists of 100 shirts of which 88 are good, 8 have minor defects and 4 have major defects. Jimmy, a trader, will only accept the shirts which are good, but Sujatha, another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that
(ii) it is acceptable to Sujatha?
Total number of shirts = 100
Number of shirts acceptable to Sujatha
= Number of shirts which are good
+ Number of shirts which have minor defects
= 88 + 8 = 96
P(shirt is acceptable to Sujatha) = (๐๐ข๐๐๐๐ ๐๐ ๐ โ๐๐๐ก๐ ๐๐๐๐๐๐ก๐๐๐๐ ๐ก๐ ๐๐ข๐๐๐กโ๐)/(๐๐๐ก๐๐ ๐๐ข๐๐๐๐ ๐๐ ๐ โ๐๐๐ก๐ )
= 96/100
= 0.96

Made by

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.