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Q.

Given a and b are two events defined on a sample space such that P(A)=0.4,P(B)=0.3,PABC=0.2 then match List – I with List – II and select the correct answer using the code given below the list

 List - I List - II
A)P(AB)P)720
B)PBACQ)1350
C)PBCAR)115
D)PABCACBS)950
 (A)(B)(C)(D)
(1)RQSP
(2)QPRS
(3)SRQP
(4)QRPS

(Note: P(X) and PXC denote probabilities of occurrence of events X and its complementary respectively)  

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a

1

b

2

c

3

d

4

answer is D.

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Detailed Solution

P(A)=0.4=410 P(B)=0.3=310 PABC=P(AB¯)P(B¯)=P(A)P(AB)1P(B)=210 P(AB)=0.26=26100(P)P(AB)=26100=1350  
 (Q) PBAC=P(B)P(AB)1P(A)=115(R) PBCA=P(AB¯)P(A)=720(S) P(( ABC)(ACB))=P(A)+P(B)2P(AB)=0.18=950   

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