$A$ box contains $10$ good articles and $6$ defective articles. One article is chosen at random. What is the probability that it is either good or defective?

$A$ set $S$ contains $7$ elements. $A$ non-empty subset $A$ of $S$ and an element $x$ of $S$ are chosen at random. Then the probability that $x \in A$ is

In a class of $60$ students, $30$ opted for $NCC$, $32$ opted for $NSS$, and $24$ opted for both $NCC$ and $NSS$. If one of these students is selected at random, find the probability that the student has opted for $NSS$ but not $NCC$.

$A$ bag contains $3$ white and $5$ black balls. If one ball is drawn,then the probability that it is black,is

If two dice are thrown, then the probability of getting coprime numbers on the dice is

Three coins are tossed. Describe three events which are mutually exclusive but not exhaustive.