When two dice are thrown,what is the probability of getting a sum of $7$ (in $/36$)?

Let $M$ be the maximum value of the product of two positive integers when their sum is $66$. Let the sample space $S = \{x \in \mathbb{Z} : x(66 - x) \geq \frac{5}{9} M\}$ and the event $A = \{x \in S : x \text{ is a multiple of } 3\}$. Then $P(A)$ is equal to

Two dice are thrown simultaneously. What is the probability of obtaining a sum of the numbers less than $11$?

Let $S$ be the sample space of all five-digit numbers. If $p$ is the probability that a randomly selected number from $S$ is a multiple of $7$ but not divisible by $5$,then $9p$ is equal to.

In a single throw of two dice,the probability of obtaining a total of $7$ or $9$ is:

If $A$ is a sure event,then the value of $P(\text{not } A)$ is: