Ten students are seated at random in a row. The probability that two particular students are not seated side by side is
$\frac{4}{5}$
$\frac{3}{5}$
$\frac{2}{5}$
$\frac{1}{5}$
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
Six cards are drawn simultaneously from a pack of playing cards. What is the probability that $3$ will be red and $3$ black
Two cards are drawn at random from a pack of $52$ cards. The probability that both are the cards of spade is
A man draws a card from a pack of $52$ playing cards, replaces it and shuffles the pack. He continues this processes until he gets a card of spade. The probability that he will fail the first two times is
A bag contains $4$ white, $5$ red and $6$ black balls. If two balls are drawn at random, then the probability that one of them is white is