Six cards are drawn simultaneously from a pack of playing cards. What is the probability that $3$ will be red and $3$ black
$^{26}{C_6}$
$\frac{{^{26}{C_3}}}{{^{52}{C_6}}}$
$\frac{{^{26}{C_3}{ \times ^{26}}{C_3}}}{{^{52}{C_6}}}$
$\frac{1}{2}$
Assume that each born child is equally likely to be a boy or a girl. If two families have two children each, then the conditional probability that all children are girls given that at least two are girls is
A five digit number is formed by writing the digits $1, 2, 3, 4, 5$ in a random order without repetitions. Then the probability that the number is divisible by $4$ is
A bag contains $3$ red, $4$ white and $5$ black balls. Three balls are drawn at random. The probability of being their different colours is
In a lottery $50$ tickets are sold in which $14$ are of prize. A man bought $2$ tickets, then the probability that the man win the prize, is
Three integers are chosen at random from the first $20$ integers. The probability that their product is even, is