Two dice are thrown. Find the probability that the sum is at least $10$ ?

In a box,there are $2$ red,$3$ black,and $4$ white balls. If $3$ balls are drawn together,what is the probability that they are of the same color?

The event $A$ is independent of itself if and only if $P(A) = $

Study the given information carefully to answer the question that follows. An urn contains $4$ green,$5$ blue,$2$ red and $3$ yellow marbles. If $3$ marbles are drawn at random,what is the probability that none is green?

There are $n$ different objects $1, 2, 3, \dots, n$ distributed at random in $n$ places marked $1, 2, 3, \dots, n$. The probability that at least three of the objects occupy places corresponding to their number is

There are $3$ bags which are known to contain $2$ white and $3$ black balls; $4$ white and $1$ black balls and $3$ white and $7$ black balls respectively. $A$ ball is drawn at random from one of the bags and found to be a black ball. Then the probability that it was drawn from the bag containing the most black balls is