A carton consists of 100 shirts of which 88 are good are 8 have minor defects. Rohit, a trader, will only accept that shirts which are good. But kamal, an 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 (i) Rohit, (ii) Kamal?
Total numbers of elementary events are: 100
The number of good shirts = 88.
The number of shirts with minor defects = 8.
Number of shirts with major defects = 100 – 88 – 8 = 4.
(i) Let E be the event of shirt getting accepting by Rohit
The numbers of favourable outcomes = 88
∴ P (the drawn shirt is acceptable to Rohit) = P (E) = 88/ 100 = 22/25
(ii) Let E be the event of shirts getting accepted by kamal
The number of favourable outcomes = 88 + 8 = 96
∴ P (the drawn shirt is acceptable to Kamal) = P (E) = 96/100 = 24/25