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Haryana Police Constable Model Paper 8
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© examsnet.com
Question : 40
Total: 100
Find P(A ∩ B), If P(A) =
4
7
, P(B) =
3
8
and P(A ∪ B) =
1
2
23
47
25
47
33
56
25
56
Validate
Solution:
Given
:
P(A) =
4
7
P(B) =
3
8
P(A ∪ B) =
1
2
Formula used
:
P(A ∪ B) = P(A) + P(B) – P(A ∩ B)
Calculation
:
P(A ∪ B) = P(A) + P(B) – P(A ∩ B)
⇒
1
2
=
4
7
+
3
8
– P(A ∩ B)
⇒
P(A ∩ B)
=
4
7
+
3
8
−
1
2
⇒
(
32
+
21
−
28
)
56
⇒
25
56
∴ The value of P(A ∩ B) is
25
56
© examsnet.com
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