Out of $30$ consecutive numbers, $2$ are chosen at random. The probability that their sum is odd, is
$\frac{{14}}{{29}}$
$\frac{{16}}{{29}}$
$\frac{{15}}{{29}}$
$\frac{{10}}{{29}}$
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
Three numbers are chosen at random from $1$ to $15$ . The probability that no two numbers are consecutive, is
Two numbers $x$ and $y$ are chosen at random from the set of integers $\{1,2,3,4......15\}.$ The probability that point $(x,y)$ lies on a line through $(0,0)$ having slope $\frac{2}{3}$ is
A lot consists of $12$ good pencils, $6$ with minor defects and $2$ with major defects. A pencil is choosen at random. The probability that this pencil is not defective is
Out of $100$ students, two sections of $40$ and $60$ are formed. If you and your friend are among the $100$ students, what is the probability that you both enter the same section ?