Question

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 Sujata, 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
(i) It is acceptable to Jimmy?
(ii) It is acceptable to Sujata.

• A. (i) $0.18$ (ii) $0.46$
• B. (i) $0.78$ (ii) $0.86$
• C. (i) $0.58$ (ii) $0.116$
• D. None of these
  

Answer 1

The correct option is D None of these

Total number of shirts $=100$
Number of good shirts $=88$
Number of minor defected shirts $=8$
Number of major defected shirts $=4$
(1) Acceptable shirts to jimmy $=88$
$\therefore$ required probability $=$ $\frac{88}{100}=0.88$
(2) Acceptable shirts to sujata $=88+8=96$
$\therefore$ required probability $=$ $\frac{96}{100}=0.96$