A purse contains $4$ copper coins $\& \, 3$ silver coins, the second purse contains $6$ copper coins $\& \,2$ silver coins. If a coin is drawn out of one of these purses, then the probability that it is a copper coin is :-
$\frac{4}{7}$
$\frac{3}{4}$
$\frac{37}{56}$
None
If the probability that a randomly chosen $6$-digit number formed by using digits $1$ and $8$ only is a multiple of $21$ is $p$, then $96\;p$ is equal to
Six points are there on a circle . Two triangles are drawn with no vertex common. What is the probability that none of the sides of the triangles intersect
The letter of the word `$ASSASSIN$' are written down at random in a row. The probability that no two $S$ occur together is
A bag contains twelve pairs of socks and four socks are picked up at random. The probability that there is at least one pair is equal to
Let $X$ be a set containing $n$ elements. If two subsets $A$ and $B$ of $X$ are picked at random, the probability that $A$ and $B$ have the same number of elements, is