Statistics- Set Notation Struggling with basic AS Statistical maths, Any help would be much appreciated.
The two events $A,B$ are such that $P(A)= 0.65, P(A\cup B)= 0.93$
Evaluate $P(B)$ given that $A$ and $B$ are independent. (4 Marks)  
Thank you.

General formula: $P(A \cup B) = P(A) + P(B) - P(A \cap B)$. Now, $A$ and $B$ are independent, that means $P(A \cap B) = P(A) P(B)$. It does not mean $P(A \cap B) = 0$. Therefore
$$
P(A \cup B) = P(A) + P(B) (1 - P(A)),
$$
which you can solve for $P(B)$.
