A bag contains four tickets marked with numbers $112, 121, 211$ and $222$. One ticket is drawn at random from the bag. Let $E_i(i=1, 2, 3)$ denote the event that $i^{\mathrm{th}}$ digit on the ticket is $2$. Then

Seven digits from the number $1, 2, 3, 4, 5, 6, 7, 8 \& 9$ are written in random order. The probability that this seven-digit number is divisible by $9$ is $\frac{p}{q}$ then $(p+q)$ equals. Where $p \& q$ are co-prime natural numbers)