The probability of an impossible event,i.e.,$P(\phi)$,is:

The chance of getting a doublet with $2$ dice is

Two dice are thrown simultaneously. The probability of getting the sum $2$,$8$,or $12$ is

Find the probability that in a random arrangement of letters of the word $'UNIVERSITY'$, two $I$s do not come together.

$A$ can solve $90 \%$ of the problems given in a book and $B$ can solve $70 \%$. What is the probability that at least $1$ of them will solve a problem selected at random from the book?

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?