If four vertices of a regular octagon are chosen at random, then the probability that the quadrilateral formed by them is a rectangle is
$\frac{1}{8}$
$\frac{2}{{21}}$
$\frac{1}{{32}}$
$\frac{1}{{35}}$
A dice is rolled three times, find the probability of getting a larger number than the previous number each time ?
If $12$ identical balls are to be placed in $3$ identical boxes, then the probability that one of the boxes contains exactly $3$ balls is :
A fair dice is thrown up to $20$ times. The probability that on the $10^{th}$ throw, the fourth six apears is :-
Mr. $A$ has six children and atleast one child is a girl, then probability that Mr. $A$ has $3$ boys and $3$ girls, is -
Out of $13$ applicants for a job, there are $5$ women and $8$ men. It is desired to select $2$ persons for the job. The probability that at least one of the selected persons will be a woman is