If A and B are two events such that 2P (A) = P (B) = 5/13 and P (A/B) = 2/5, find P (A ∪ B).

Question

Philoid · Accepted Answer

We have, 2P (A) = P (B) =

2P (A) =

P (A) = =

Now, we need P (A ∩ B)

We have, =

P (A ∩ B) =

=

Now, P (A ∪ B) = P (A)+ P (B)- P (A ∩ B)

=

(taking lcm as 26 is common factor)

= (answer)