A three digit number is formed by using numbers $1, 2, 3$ and $4$. The probability that the number is divisible by $3$, is
$\frac{2}{3}$
$\frac{2}{7}$
$\frac{1}{2}$
$\frac{3}{4}$
A bag contains $5$ distinct Red, $4$ distinct Green and $3$ distinct Black balls. Balls are drawn one by one without replacement,then the probability of getting a particular red ball in fourth draw is-
Two numbers are selected at random from $1, 2, 3 ......100$ and are multiplied, then the probability correct to two places of decimals that the product thus obtained is divisible by $3$, is
If three of the six vertices of a regular hexagon are chosen at random, then the probability that the triangle formed with these chosen vertices is equilateral is
Seven white balls and three black balls are randomly placed in a row. The probability that no two black balls are placed adjacently equals
A box contains $10$ red marbles, $20$ blue marbles and $30$ green marbles. $5$ marbles are drawn from the box, what is the probability that all will be blue?