Question

A carton consists of 100 shirts of which 88 are good and 8 have minor defrects. Rohit, a trader, will only accept the 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 [4 Marks]

Answer 1

Concept: 2 Marks

Solution: 1 Mark each

Total number of shirts = 100

Number of good shirts = 88

Number of shirts having minor defects = 8

Number of shirts having major defects = 100 - (88 + 8) = 4

$\therefore$ (i) P (that the drawn shirt is acceptable to Rohit) $=\frac{88}{100}=\frac{22}{25}$

(ii) P (that the drawn shirt is acceptable to Kamal) $=\frac{88+8}{100}=\frac{96}{100}=\frac{24}{25}$