Question

If events A and B are independent, such that `P(A)= 3/5`,  `P(B)=2/3` 'find P(A ∪ B).

Answer 1

P(A ∪ B) = P(A) + P(B) - P(A∩ B)
But A and B are independent 
`P(A ∪ B) = P(A)+P(B)- P(A)xxP(B)`

= `3/5 + 2/3 - 3/5xx2/5`

=  `(9 + 10)/15 - 6/15`

= `13/15`