The probability that a married man watches a certain $\text{TV}$ show is $0.4$ and the probability that a married woman watches the show is $0.5$. The probability that a man watches the show, given that his wife does, is $0.7$. Then

$A$ and $B$ are two events defined as follows:

$A$: It rains today with $P\left(A\right)=40\%$

$B$: It rains tomorrow with $P\left(B\right)=50\%$

Also, $P($it rains today and tomorrow$)=30\%$

Also, $E_1:P\left(\frac{\left(A\cap B\right)}{\left(A\cup B\right)}\right) \& E_2:P\left(\frac{\left(\left(A\cap \overline{B}\right)\cup \left(B\cup \overline{A}\right)\right)}{\left(A\cup B\right)}\right)$, then which of the following is/are true?

Two numbers are randomly selected and multiplied,

Consider two events $E_1 \& E_2$ defined as

$E_1$:Their product is divisible by $5$

$E_2$: Unit's places of their product is $5$

Which of the following statement is /are correct?