Q28 of 47 Page 1

A box contains 125 shirts of which 110 are good, 12 have minor defects and 3 have major defects. Ram Lal will buy only those shirts which are good while Naveen will reject only those which have major defects. A shirt is taken out at random from the box. Find the probability that

(i) Ram Lal will buy it


(ii) Naveen will buy it

One shirt is taken out random from the carton of 125 shirts.

∴ There are 125 equally likely outcomes.


We know that the theoretical (classical) probability of an event E, written as P (E), is defined as P (E) = Number of outcomes favorable to E / Number of all possible outcomes of the experiment


(i) Given Ram Lal will buy only those shirts which are good.


So, the number of outcomes favorable to Ram Lal = 110


P (shirt will be bought by Ram Lal) = 110/125 = 22/25 = 0.88


(ii) Given Naveen will reject only those which have major defects.


So, then number of outcomes favorable to Naveen = 110 + 12 = 122


So, P (shirt will be bought by Naveen) = 122/125 = 0.976


Answer: The probability that Ram Lal will buy the random shirt is 0.88 and Naveen will buy the shirt is 0.976.


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