A bag contains twelve pairs of socks and four socks are picked up at random. The probability that there is at least one pair is equal to
$\frac{{20}}{{161}}$
$\frac{{22}}{{161}}$
$\frac{{120}}{{161}}$
$\frac{{41}}{{161}}$
Out of $100$ students, two sections of $40$ and $60$ are formed. If you and your friend are among the $100$ students, what is the probability that You both enter the different sections?
A box contains coupons labelled $1,2, \ldots, 100$. Five coupons are picked at random one after another without replacement. Let the numbers on the coupons be $x_1, x_2, \ldots, x_5$. What is the probability that $x_1 > x_2 > x_3$ and $x _3 < x _4 < x _5 ?$
The probability of getting $4$ heads in $8$ throws of a coin, is
Five digit numbers are formed using the digits $1, 2, 3, 4, 5, 6$ and $8$. What is the probability that they have even digits at both the ends
A bag contains tickets numbered from $1$ to $20$. Two tickets are drawn. The probability that both the numbers are prime, is