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NCERT Class XII Mathematics Chapter - - Solutions

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Question : 5
Total: 101
If P(A)=
6
11
, P(B)=
5
11
 and P(A∪B)=
7
11
, find
(i) P(A∩B)
(ii) P(A|B)
(iii) P(B|A)
Solution:  
. (i) Now, P(A)+P(B)−P(A∩B)=
7
11

⇒P(A∩B)=
6
11
+
5
11
−
7
11
=
4
11

(ii) P(A|B) =
P(A∩B)
P(B)
=
4∕11
5∕11
=
4
5

(iii) P(B|A) =
P(A∩B)
P(A)
=
4∕11
6∕11
=
4
6
=
2
3
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