Let $\Omega$ be the sample space and $A \subseteq \Omega$ be an event. Given below are two statements :

$(S1)$ : If $P ( A )=0$, then $A =\phi$

$( S 2)$ : If $P ( A )=$, then $A =\Omega$

Then

Two numbers are selected randomly from the set $S = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}$ without replacement one by one. The probability that minimum of the two numbers is divisible by $3$ or maximum of the two numbers is divisible by $4$ , is 

The event $A$ is independent of itself if and only if $P(A) = $

If in a lottary there are $5$ prizes and $20$ blanks, then the probability of getting a prize is

If two balanced dice are tossed once, the probability of the event, that the sum of the integers coming on the upper sides of the two dice is $9$, is