Haryana Police Constable Model Paper 8

Question : 40 of 100

Marks: +1, -0

Find P(A ∩ B), If P(A) =

4/7

, P(B) =

3/8

and P(A ∪ B) =

1/2

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)

\Rightarrow

P(A ∩ B)

= 4/7 + 3/8 -1/2

⇒ (32 + 21 -28)/56

⇒ 25/56

∴ The value of P(A ∩ B) is $25/56$

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