A number is chosen at random from the set $\{1,2,3, \ldots, 2000\}$. Let $p$ be the probability that the chosen number is a multiple of $3$ or a multiple of $7$ . Then the value of $500\ p$  is. . . . . . 

If $A$ is a sure event, then the value of $P (A$ not ) is

Three coins are tossed once. Find the probability of getting $3 $ heads

Two dice are thrown. The events $A,\, B$ and $C$ are as follows:

$A:$ getting an even number on the first die.

$B:$ getting an odd number on the first die.

$C:$ getting the sum of the numbers on the dice $\leq 5$

State true or false $:$ (give reason for your answer)

Statement :  $A^{\prime}$, $B^{\prime}, C$ are mutually exclusive and exhaustive.

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