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Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

A bag consists of 134 shirts of which 76 are good, 19 have minor defects and 9 have major defects. A trader A will accept only the shirt which are good, but the trader B will not accept the shirts which have major defects. One shirt is drawn at random. what is the probability that it is acceptable  by (i) A  (ii)  B  .

A =

B =


Answer:_______________




2)  

A bag consists of 137 shirts of which 71 are good, 25 have minor defects and 5 have major defects. A trader A will accept only the shirt which are good, but the trader B will not accept the shirts which have major defects. One shirt is drawn at random. what is the probability that it is acceptable  by (i) A  (ii)  B  .

A =

B =


Answer:_______________




3)  

A bag consists of 139 shirts of which 74 are good, 17 have minor defects and 9 have major defects. A trader A will accept only the shirt which are good, but the trader B will not accept the shirts which have major defects. One shirt is drawn at random. what is the probability that it is acceptable  by (i) A  (ii)  B  .

A =

B =


Answer:_______________




4)  

A bag consists of 141 shirts of which 76 are good, 24 have minor defects and 5 have major defects. A trader A will accept only the shirt which are good, but the trader B will not accept the shirts which have major defects. One shirt is drawn at random. what is the probability that it is acceptable  by (i) A  (ii)  B  .

A =

B =


Answer:_______________




5)  

A bag consists of 123 shirts of which 72 are good, 21 have minor defects and 7 have major defects. A trader A will accept only the shirt which are good, but the trader B will not accept the shirts which have major defects. One shirt is drawn at random. what is the probability that it is acceptable  by (i) A  (ii)  B  .

A =

B =


Answer:_______________




6)  

A bag consists of 149 shirts of which 95 are good, 19 have minor defects and 8 have major defects. A trader A will accept only the shirt which are good, but the trader B will not accept the shirts which have major defects. One shirt is drawn at random. what is the probability that it is acceptable  by (i) A  (ii)  B  .

A =

B =


Answer:_______________




7)  

A bag consists of 127 shirts of which 72 are good, 24 have minor defects and 12 have major defects. A trader A will accept only the shirt which are good, but the trader B will not accept the shirts which have major defects. One shirt is drawn at random. what is the probability that it is acceptable  by (i) A  (ii)  B  .

A =

B =


Answer:_______________




8)  

A bag consists of 148 shirts of which 82 are good, 17 have minor defects and 13 have major defects. A trader A will accept only the shirt which are good, but the trader B will not accept the shirts which have major defects. One shirt is drawn at random. what is the probability that it is acceptable  by (i) A  (ii)  B  .

A =

B =


Answer:_______________




9)  

A bag consists of 138 shirts of which 76 are good, 17 have minor defects and 5 have major defects. A trader A will accept only the shirt which are good, but the trader B will not accept the shirts which have major defects. One shirt is drawn at random. what is the probability that it is acceptable  by (i) A  (ii)  B  .

A =

B =


Answer:_______________




10)  

A bag consists of 134 shirts of which 82 are good, 23 have minor defects and 7 have major defects. A trader A will accept only the shirt which are good, but the trader B will not accept the shirts which have major defects. One shirt is drawn at random. what is the probability that it is acceptable  by (i) A  (ii)  B  .

A =

B =


Answer:_______________




 

1)  

A bag consists of 134 shirts of which 76 are good, 19 have minor defects and 9 have major defects. A trader A will accept only the shirt which are good, but the trader B will not accept the shirts which have major defects. One shirt is drawn at random. what is the probability that it is acceptable  by (i) A  (ii)  B  .

A = Answer: 3867

B = Answer: 95134


SOLUTION 1 :

A bag consists of 134 shirts.

n(S) = 134.

(i) ..... A trader A will accept only good shirts 

n(A) = 76.

P(A) = n(A) / a(S) = 76134 = 3867 .

 A will accept only good shirts = 3867

(ii) .... A trader B will not accept the shirts which have major defects.

         Trader B will accept the shirts which have minor defects.

n(B) = 76 + 19   ( B accepts good and minor defects shirts)

       =  95.

P(B) = n(B) / n(S) = 95134 = 95134

Trader B will accept the shirts which have minor defects = 95134 .

 



2)  

A bag consists of 137 shirts of which 71 are good, 25 have minor defects and 5 have major defects. A trader A will accept only the shirt which are good, but the trader B will not accept the shirts which have major defects. One shirt is drawn at random. what is the probability that it is acceptable  by (i) A  (ii)  B  .

A = Answer: 71137

B = Answer: 96137


SOLUTION 1 :

A bag consists of 137 shirts.

n(S) = 137.

(i) ..... A trader A will accept only good shirts 

n(A) = 71.

P(A) = n(A) / a(S) = 71137 = 71137 .

 A will accept only good shirts = 71137

(ii) .... A trader B will not accept the shirts which have major defects.

         Trader B will accept the shirts which have minor defects.

n(B) = 71 + 25   ( B accepts good and minor defects shirts)

       =  96.

P(B) = n(B) / n(S) = 96137 = 96137

Trader B will accept the shirts which have minor defects = 96137 .

 



3)  

A bag consists of 139 shirts of which 74 are good, 17 have minor defects and 9 have major defects. A trader A will accept only the shirt which are good, but the trader B will not accept the shirts which have major defects. One shirt is drawn at random. what is the probability that it is acceptable  by (i) A  (ii)  B  .

A = Answer: 74139

B = Answer: 91139


SOLUTION 1 :

A bag consists of 139 shirts.

n(S) = 139.

(i) ..... A trader A will accept only good shirts 

n(A) = 74.

P(A) = n(A) / a(S) = 74139 = 74139 .

 A will accept only good shirts = 74139

(ii) .... A trader B will not accept the shirts which have major defects.

         Trader B will accept the shirts which have minor defects.

n(B) = 74 + 17   ( B accepts good and minor defects shirts)

       =  91.

P(B) = n(B) / n(S) = 91139 = 91139

Trader B will accept the shirts which have minor defects = 91139 .

 



4)  

A bag consists of 141 shirts of which 76 are good, 24 have minor defects and 5 have major defects. A trader A will accept only the shirt which are good, but the trader B will not accept the shirts which have major defects. One shirt is drawn at random. what is the probability that it is acceptable  by (i) A  (ii)  B  .

A = Answer: 76141

B = Answer: 100141


SOLUTION 1 :

A bag consists of 141 shirts.

n(S) = 141.

(i) ..... A trader A will accept only good shirts 

n(A) = 76.

P(A) = n(A) / a(S) = 76141 = 76141 .

 A will accept only good shirts = 76141

(ii) .... A trader B will not accept the shirts which have major defects.

         Trader B will accept the shirts which have minor defects.

n(B) = 76 + 24   ( B accepts good and minor defects shirts)

       =  100.

P(B) = n(B) / n(S) = 100141 = 100141

Trader B will accept the shirts which have minor defects = 100141 .

 



5)  

A bag consists of 123 shirts of which 72 are good, 21 have minor defects and 7 have major defects. A trader A will accept only the shirt which are good, but the trader B will not accept the shirts which have major defects. One shirt is drawn at random. what is the probability that it is acceptable  by (i) A  (ii)  B  .

A = Answer: 2441

B = Answer: 3141


SOLUTION 1 :

A bag consists of 123 shirts.

n(S) = 123.

(i) ..... A trader A will accept only good shirts 

n(A) = 72.

P(A) = n(A) / a(S) = 72123 = 2441 .

 A will accept only good shirts = 2441

(ii) .... A trader B will not accept the shirts which have major defects.

         Trader B will accept the shirts which have minor defects.

n(B) = 72 + 21   ( B accepts good and minor defects shirts)

       =  93.

P(B) = n(B) / n(S) = 93123 = 3141

Trader B will accept the shirts which have minor defects = 3141 .

 



6)  

A bag consists of 149 shirts of which 95 are good, 19 have minor defects and 8 have major defects. A trader A will accept only the shirt which are good, but the trader B will not accept the shirts which have major defects. One shirt is drawn at random. what is the probability that it is acceptable  by (i) A  (ii)  B  .

A = Answer: 95149

B = Answer: 114149


SOLUTION 1 :

A bag consists of 149 shirts.

n(S) = 149.

(i) ..... A trader A will accept only good shirts 

n(A) = 95.

P(A) = n(A) / a(S) = 95149 = 95149 .

 A will accept only good shirts = 95149

(ii) .... A trader B will not accept the shirts which have major defects.

         Trader B will accept the shirts which have minor defects.

n(B) = 95 + 19   ( B accepts good and minor defects shirts)

       =  114.

P(B) = n(B) / n(S) = 114149 = 114149

Trader B will accept the shirts which have minor defects = 114149 .

 



7)  

A bag consists of 127 shirts of which 72 are good, 24 have minor defects and 12 have major defects. A trader A will accept only the shirt which are good, but the trader B will not accept the shirts which have major defects. One shirt is drawn at random. what is the probability that it is acceptable  by (i) A  (ii)  B  .

A = Answer: 72127

B = Answer: 96127


SOLUTION 1 :

A bag consists of 127 shirts.

n(S) = 127.

(i) ..... A trader A will accept only good shirts 

n(A) = 72.

P(A) = n(A) / a(S) = 72127 = 72127 .

 A will accept only good shirts = 72127

(ii) .... A trader B will not accept the shirts which have major defects.

         Trader B will accept the shirts which have minor defects.

n(B) = 72 + 24   ( B accepts good and minor defects shirts)

       =  96.

P(B) = n(B) / n(S) = 96127 = 96127

Trader B will accept the shirts which have minor defects = 96127 .

 



8)  

A bag consists of 148 shirts of which 82 are good, 17 have minor defects and 13 have major defects. A trader A will accept only the shirt which are good, but the trader B will not accept the shirts which have major defects. One shirt is drawn at random. what is the probability that it is acceptable  by (i) A  (ii)  B  .

A = Answer: 4174

B = Answer: 99148


SOLUTION 1 :

A bag consists of 148 shirts.

n(S) = 148.

(i) ..... A trader A will accept only good shirts 

n(A) = 82.

P(A) = n(A) / a(S) = 82148 = 4174 .

 A will accept only good shirts = 4174

(ii) .... A trader B will not accept the shirts which have major defects.

         Trader B will accept the shirts which have minor defects.

n(B) = 82 + 17   ( B accepts good and minor defects shirts)

       =  99.

P(B) = n(B) / n(S) = 99148 = 99148

Trader B will accept the shirts which have minor defects = 99148 .

 



9)  

A bag consists of 138 shirts of which 76 are good, 17 have minor defects and 5 have major defects. A trader A will accept only the shirt which are good, but the trader B will not accept the shirts which have major defects. One shirt is drawn at random. what is the probability that it is acceptable  by (i) A  (ii)  B  .

A = Answer: 3869

B = Answer: 3146


SOLUTION 1 :

A bag consists of 138 shirts.

n(S) = 138.

(i) ..... A trader A will accept only good shirts 

n(A) = 76.

P(A) = n(A) / a(S) = 76138 = 3869 .

 A will accept only good shirts = 3869

(ii) .... A trader B will not accept the shirts which have major defects.

         Trader B will accept the shirts which have minor defects.

n(B) = 76 + 17   ( B accepts good and minor defects shirts)

       =  93.

P(B) = n(B) / n(S) = 93138 = 3146

Trader B will accept the shirts which have minor defects = 3146 .

 



10)  

A bag consists of 134 shirts of which 82 are good, 23 have minor defects and 7 have major defects. A trader A will accept only the shirt which are good, but the trader B will not accept the shirts which have major defects. One shirt is drawn at random. what is the probability that it is acceptable  by (i) A  (ii)  B  .

A = Answer: 4167

B = Answer: 105134


SOLUTION 1 :

A bag consists of 134 shirts.

n(S) = 134.

(i) ..... A trader A will accept only good shirts 

n(A) = 82.

P(A) = n(A) / a(S) = 82134 = 4167 .

 A will accept only good shirts = 4167

(ii) .... A trader B will not accept the shirts which have major defects.

         Trader B will accept the shirts which have minor defects.

n(B) = 82 + 23   ( B accepts good and minor defects shirts)

       =  105.

P(B) = n(B) / n(S) = 105134 = 105134

Trader B will accept the shirts which have minor defects = 105134 .