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  • A lot consists of 144 ball pens of which 20 are defective. The customer will buy a ball pen if it is good, but will not buy a defective ball pen. The shopkeeper draws one pen at random from the lot and gives it to the customer. What is the probability

A lot consists of 144 ball pens of which 20 are defective. The customer will buy a ball pen if it is good, but will not buy a defective ball pen. The shopkeeper draws one pen at random from the lot and gives it to the customer. What is the probability that

(i) customer will buy the ball pen

(ii) customer will not buy the ball pen

 

 

 
 
 
 
 

Answers (1)

Total no. of pens, n(T)=144

Total no. of defective pens, n(D)=20

Total no. of good pens, n(G)=144-20=124

(i) The probability that the customer will buy the pen =P_1

\Rightarrow P_1=\frac{\text{No. of good pens}}{\text{Total no. of pens}}=\frac{n(G)}{n(T)}=\frac{124}{144}=\frac{31}{36}

\Rightarrow P_1=\frac{31}{36}

(ii) The probability that the customer will not buy the pen =P_2

\Rightarrow P_2=\frac{\text{No. of defective pens}}{\text{Total no. of pens}}=\frac{n(D)}{n(T)}=\frac{20}{144}=\frac{5}{36}

\Rightarrow P_2=\frac{5}{36}

Posted by

Safeer PP

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