A box contains $10$ red balls and $15$ green balls. If two balls are drawn in succession then the probability that one is red and other is green, is
$\frac{1}{3}$
$\frac{1}{2}$
$\frac{1}{4}$
None of these
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
A committee of two persons is selected from two men and two women. What is the probability that the committee will have no man ?
One of the two events must occur. If the chance of one is $\frac{{2}}{{3}}$ of the other, then odds in favour of the other are
The probability that a randomly chosen $5-digit$ number is made from exactly two digits is
In a lottery there were $90$ tickets numbered $1$ to $90$. Five tickets were drawn at random. The probability that two of the tickets drawn numbers $15$ and $89$ is