A box contains $2$ black, $4$ white and $3$ red balls. One ball is drawn at random from the box and kept aside. From the remaining balls in the box, another ball is drawn at random and kept aside the first. This process is repeated till all the balls are drawn from the box. The probability that the balls drawn are in the sequence of $2$ black, $4$ white and $3$ red is
$\frac{1}{{1260}}$
$\frac{1}{{7560}}$
$\frac{1}{{126}}$
None of these
From a well shuffled pack of cards one card is drawn at random. The probability that the card drawn is an ace is
Three coins are tossed once. Find the probability of getting atmost two tails.
Two dice are thrown. The events $A, B$ and $C$ are as follows:
$A:$ getting an even number on the first die.
$B:$ getting an odd number on the first die.
$C:$ getting the sum of the numbers on the dice $\leq 5$
Describe the events $A^{\prime }.$
From a pack of $52$ cards one card is drawn at random, the probability that it is either a king or a queen is
$A$ and $B$ toss a coin alternatively, the first to show a head being the winner. If $A$ starts the game, the chance of his winning is