$A$ drawer contains $5$ brown socks and $4$ blue socks well mixed. $A$ man reaches the drawer and pulls out $2$ socks at random. What is the probability that they match?

$A$ container contains nine balls: three red,four blue,and two green. If three balls are selected at random from the container without replacement,what is the probability that all three balls are of different colors?

If the letters of the word $SUCCESS$ are rearranged,what is the probability that all identical letters come together (in $/35$)?

In a collection of $10$ tickets,there are $2$ winning tickets. From this collection,$5$ tickets are drawn at random. Let $p_1$ and $p_2$ be the probabilities of obtaining $1$ and $2$ winning tickets,respectively. Then $p_1+p_2$ lies in the interval:

Two persons $A$ and $B$ take turns in throwing a pair of dice. The first person to throw a sum of $9$ with both dice will be awarded the prize. If $A$ throws first,then the probability that $B$ wins the game is

An urn contains $8$ red and $5$ white balls. Three balls are drawn at random. Then, the probability that balls of both colours are drawn is