Let \(X\) and \(Y\) be two events such that \(P(X) = \dfrac {1}{3}, P(X/Y) = \dfrac {1}{2}\) and \(P(Y/X)= \dfrac {2}{5}\). Then
1
\(P(X \cup Y) = \dfrac {2}{5}\)
2
\(P(Y) = \dfrac {4}{15}\)
3
\(P(X'|Y) = \dfrac {1}{2}\)
4
\(P(X \cap Y) = \dfrac {1}{5}\)