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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 141 shirts of which 91 are good, 15 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:_______________




2)  

A bag consists of 138 shirts of which 99 are good, 21 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 136 shirts of which 95 are good, 15 have minor defects and 11 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 140 shirts of which 70 are good, 25 have minor defects and 6 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 149 shirts of which 76 are good, 18 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:_______________




6)  

A bag consists of 120 shirts of which 78 are good, 19 have minor defects and 10 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 123 shirts of which 86 are good, 24 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:_______________




8)  

A bag consists of 138 shirts of which 74 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:_______________




9)  

A bag consists of 120 shirts of which 81 are good, 16 have minor defects and 10 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 136 shirts of which 91 are good, 25 have minor defects and 10 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 141 shirts of which 91 are good, 15 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: 91141

B = Answer: 106141


SOLUTION 1 :

A bag consists of 141 shirts.

n(S) = 141.

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

n(A) = 91.

P(A) = n(A) / a(S) = 91141 = 91141 .

 A will accept only good shirts = 91141

(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) = 91 + 15   ( B accepts good and minor defects shirts)

       =  106.

P(B) = n(B) / n(S) = 106141 = 106141

Trader B will accept the shirts which have minor defects = 106141 .

 



2)  

A bag consists of 138 shirts of which 99 are good, 21 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: 3346

B = Answer: 2023


SOLUTION 1 :

A bag consists of 138 shirts.

n(S) = 138.

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

n(A) = 99.

P(A) = n(A) / a(S) = 99138 = 3346 .

 A will accept only good shirts = 3346

(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) = 99 + 21   ( B accepts good and minor defects shirts)

       =  120.

P(B) = n(B) / n(S) = 120138 = 2023

Trader B will accept the shirts which have minor defects = 2023 .

 



3)  

A bag consists of 136 shirts of which 95 are good, 15 have minor defects and 11 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: 95136

B = Answer: 5568


SOLUTION 1 :

A bag consists of 136 shirts.

n(S) = 136.

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

n(A) = 95.

P(A) = n(A) / a(S) = 95136 = 95136 .

 A will accept only good shirts = 95136

(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 + 15   ( B accepts good and minor defects shirts)

       =  110.

P(B) = n(B) / n(S) = 110136 = 5568

Trader B will accept the shirts which have minor defects = 5568 .

 



4)  

A bag consists of 140 shirts of which 70 are good, 25 have minor defects and 6 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: 12

B = Answer: 1928


SOLUTION 1 :

A bag consists of 140 shirts.

n(S) = 140.

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

n(A) = 70.

P(A) = n(A) / a(S) = 70140 = 12 .

 A will accept only good shirts = 12

(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) = 70 + 25   ( B accepts good and minor defects shirts)

       =  95.

P(B) = n(B) / n(S) = 95140 = 1928

Trader B will accept the shirts which have minor defects = 1928 .

 



5)  

A bag consists of 149 shirts of which 76 are good, 18 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: 76149

B = Answer: 94149


SOLUTION 1 :

A bag consists of 149 shirts.

n(S) = 149.

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

n(A) = 76.

P(A) = n(A) / a(S) = 76149 = 76149 .

 A will accept only good shirts = 76149

(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 + 18   ( B accepts good and minor defects shirts)

       =  94.

P(B) = n(B) / n(S) = 94149 = 94149

Trader B will accept the shirts which have minor defects = 94149 .

 



6)  

A bag consists of 120 shirts of which 78 are good, 19 have minor defects and 10 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: 1320

B = Answer: 97120


SOLUTION 1 :

A bag consists of 120 shirts.

n(S) = 120.

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

n(A) = 78.

P(A) = n(A) / a(S) = 78120 = 1320 .

 A will accept only good shirts = 1320

(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) = 78 + 19   ( B accepts good and minor defects shirts)

       =  97.

P(B) = n(B) / n(S) = 97120 = 97120

Trader B will accept the shirts which have minor defects = 97120 .

 



7)  

A bag consists of 123 shirts of which 86 are good, 24 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: 86123

B = Answer: 110123


SOLUTION 1 :

A bag consists of 123 shirts.

n(S) = 123.

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

n(A) = 86.

P(A) = n(A) / a(S) = 86123 = 86123 .

 A will accept only good shirts = 86123

(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) = 86 + 24   ( B accepts good and minor defects shirts)

       =  110.

P(B) = n(B) / n(S) = 110123 = 110123

Trader B will accept the shirts which have minor defects = 110123 .

 



8)  

A bag consists of 138 shirts of which 74 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: 3769

B = Answer: 95138


SOLUTION 1 :

A bag consists of 138 shirts.

n(S) = 138.

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

n(A) = 74.

P(A) = n(A) / a(S) = 74138 = 3769 .

 A will accept only good shirts = 3769

(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 + 21   ( B accepts good and minor defects shirts)

       =  95.

P(B) = n(B) / n(S) = 95138 = 95138

Trader B will accept the shirts which have minor defects = 95138 .

 



9)  

A bag consists of 120 shirts of which 81 are good, 16 have minor defects and 10 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: 2740

B = Answer: 97120


SOLUTION 1 :

A bag consists of 120 shirts.

n(S) = 120.

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

n(A) = 81.

P(A) = n(A) / a(S) = 81120 = 2740 .

 A will accept only good shirts = 2740

(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) = 81 + 16   ( B accepts good and minor defects shirts)

       =  97.

P(B) = n(B) / n(S) = 97120 = 97120

Trader B will accept the shirts which have minor defects = 97120 .

 



10)  

A bag consists of 136 shirts of which 91 are good, 25 have minor defects and 10 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: 91136

B = Answer: 2934


SOLUTION 1 :

A bag consists of 136 shirts.

n(S) = 136.

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

n(A) = 91.

P(A) = n(A) / a(S) = 91136 = 91136 .

 A will accept only good shirts = 91136

(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) = 91 + 25   ( B accepts good and minor defects shirts)

       =  116.

P(B) = n(B) / n(S) = 116136 = 2934

Trader B will accept the shirts which have minor defects = 2934 .