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  • 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

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

 

 
 
 
 
 

Answers (1)

Given :

Total no. of shirts, n(T)=125

Total no. of good shirts, n(G)=110

Total no. of minor defect shirts, n(mD)=12

Total no. of major defect shirts, n(M\!D)=3

(i) Ramlal will only buy good shirts.

Hence, P_1=\frac{\text{no. of good shirts}}{\text{no. of total shirts}}=\frac{n(G)}{n(T)}=\frac{110}{125}=\frac{22}{25}

(ii) Naveen will buy all shirts except with major defects.

No. of shirts Naveen buys =n(N)=n(G)+n(mD)

                   =110+12

n(N)=122

Hence, P_2=\frac{\text{no. of shirts Naveen buys }}{\text{ Total no. of shirts}}=\frac{n(N)}{n(T)}=\frac{122}{125}

 

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Safeer PP

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