A bag contains $3$ red, $4$ white and $5$ blue balls. All balls are different. Two balls are drawn at random. The probability that they are of different colour is
$\frac{{47}}{{66}}$
$\frac{{10}}{{33}}$
$\frac{5}{{22}}$
None of these
If $7$ dice are thrown simultaneously, then probability that all six digit appears on the upper face is equal to -
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?
Mr. $A$ has six children and atleast one child is a girl, then probability that Mr. $A$ has $3$ boys and $3$ girls, is -
If $10$ different balls are to be placed in $4$ distinct boxes at random, then the probability that two of these boxes contain exactly $2$ and $3$ balls is
A committee of two persons is selected from two men and two women. What is the probability that the committee will have two men ?