If the probability that a randomly chosen $6$-digit number formed by using digits $1$ and $8$ only is a multiple of $21$ is $p$, then $96\;p$ is equal to
If the probability that a randomly chosen $6$-digit number formed by using digits $1$ and $8$ only is a multiple of $21$ is $p$, then $96\;p$ is equal to
- [JEE MAIN 2022]
- A
$30$
- B
$33$
- C
$40$
- D
$43$
Similar Questions
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
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
- [JEE MAIN 2020]
Six cards are drawn simultaneously from a pack of playing cards. What is the probability that $3$ will be red and $3$ black
Six cards are drawn simultaneously from a pack of playing cards. What is the probability that $3$ will be red and $3$ black
Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with these three vertices is equilateral, is equal to
Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with these three vertices is equilateral, is equal to
- [IIT 1995]
The probability that the three cards drawn from a pack of $52$ cards are all red is
The probability that the three cards drawn from a pack of $52$ cards are all red is
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?
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?