Question

A carton consist of 100 trousers of which 73 are good, 12 have minor defects and 15 have major defects. Kanu, a trader, will only accept the trousers which are good, but Radha, another trader, will only reject the trousers which have major defects. One trouser is drawn at random from the carton. What is the probability that, (i) it is acceptable to Kanu ? (ii) it is acceptable to Radha

Answer 1

Total number of trousers = 100

Total number trousers that are good  = 73

Total number trousers that have minor defects  = 12

Total number trousers that have major defects = 15

Kanu will only accept the trousers which are good

P(Kanu will accept) = 73/100

Radha will only reject the trousers which have major defects

P(Radha will accept) = 1 - P(with major defects)

P(Radha will accept) = 1 - 15/100 = 17/20

Answer: (a) 73/100 (b) 17/20