Three integers are chosen at random from the first $20$ integers. The probability that their product is even,is

Ten persons with badges numbered $1$ to $10$ are in a room. If three of them are asked to leave the room,then the probability that the person with the smallest badge number among the three who left is $5$,is:

Let $X$ be a set containing $10$ elements and $P(X)$ be its power set. If $A$ and $B$ are picked up at random from $P(X)$ with replacement,then the probability that $A$ and $B$ have an equal number of elements is:

Two persons $A$ and $B$ have respectively $n + 1$ and $n$ coins which they toss simultaneously. Then the probability that $A$ will have more heads than $B$ is

From a group of $50$ students,two sections comprising of $20$ and $30$ students are formed. If $Ram$ and $Rahim$ are two particular students among the $50$ students,then the probability that they both belong to the same section is

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