The probability of getting heads in all the three trials,when a balanced coin is tossed thrice,is

$A$ box contains $6$ nails and $10$ nuts. Half of the nails and half of the nuts are rusted. If one item is chosen at random,what is the probability that it is rusted or is a nail?

When $2$ dice are thrown,find the probability of getting a sum that is a prime number.

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

Three fair coins are tossed. If both heads and tails appear,then the probability that exactly one head appears is:

$A$ bag contains $6$ red,$4$ white and $8$ blue balls. If three balls are drawn at random,then the probability that $2$ are white and $1$ is red,is