(Q5) A carton consists of 100 shirts of which 88 are good, 8 have minor defects and 4 have major defects. Jhony, 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 selected at random from the carton. What is the probability that

(i) it is acceptable to Jhony?   (ii) it is acceptable to Sujatha?

Solution :

One shirt is selected at random from the carton of 100 shirts. Therefore, there are 100 equally likely outcomes.

(i) The number of outcomes favourable (i.e., acceptable) to Jhony =

 Therefore, P (shirt is acceptable to Jhony) =

=

(ii) The number of outcomes favourable to Sujatha = 88 + =

 So, P (shirt is acceptable to Sujatha) =

=