Symbiosis National Aptitude Test SNAP 2012 Paper

Let A be the event denotes that contractor gets the plumbing contract.
Let B be the event denotes that contractor gets the electric contract.
Given : P(A) =

2

3

, P(B) =

4

9

, P(

−

B

) =

5

9

and P (A ∪ B) =

4

5

To find : P (A ∩ B) = ?
We know, P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
⇒

4

5

=

2

3

+

4

9

- P (A ∩ B)
⇒ P (A ∩ B) =

10

9

−

4

5

=

14

45